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  <xs:element id="bhrb_FederalHomeLoanBankDividendMember" abstract="true" name="FederalHomeLoanBankDividendMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_OtherComprehensiveIncomeLossFairValueHedgeGainLossReclassificationTax" abstract="false" name="OtherComprehensiveIncomeLossFairValueHedgeGainLossReclassificationTax" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_ShortTermDebtAndOtherBorrowings" abstract="false" name="ShortTermDebtAndOtherBorrowings" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_DefinedBenefitPlanDebtSecurityAndCashEquipvalentsMember" abstract="true" name="DefinedBenefitPlanDebtSecurityAndCashEquipvalentsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_ChangeInPensionPlanBenefits" abstract="false" name="ChangeInPensionPlanBenefits" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_AcquisitionConstructionAndDevelopmentMember" abstract="true" name="AcquisitionConstructionAndDevelopmentMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuableEntitySharesIssuedPerAcquireeShare" abstract="false" name="BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuableEntitySharesIssuedPerAcquireeShare" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="bhrb_OperatingAndFinanceLeaseLiabilityAbstract" abstract="true" name="OperatingAndFinanceLeaseLiabilityAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="bhrb_TimeBasedRestrictedStockUnitsMember" abstract="true" name="TimeBasedRestrictedStockUnitsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_FinancingReceivableIndividuallyEvaluatedForImpairmentMeasurementInput" abstract="false" name="FinancingReceivableIndividuallyEvaluatedForImpairmentMeasurementInput" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:decimalItemType"/>
  <xs:element id="bhrb_CommunityBankersBankMember" abstract="true" name="CommunityBankersBankMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_ConsultantFees" abstract="false" name="ConsultantFees" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_LessorLeaseIncomeTableTextBlock" abstract="false" name="LessorLeaseIncomeTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:textBlockItemType"/>
  <xs:element id="bhrb_ProceedsFromSalePaymentsForRepurchaseOfTreasuryStockIncludingAdjustments" abstract="false" name="ProceedsFromSalePaymentsForRepurchaseOfTreasuryStockIncludingAdjustments" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_ShortTermDebtAndOtherBorrowingsFairValueDisclosure" abstract="false" name="ShortTermDebtAndOtherBorrowingsFairValueDisclosure" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_InterestPayableAndOtherLiabilitiesFairValueDisclosure" abstract="false" name="InterestPayableAndOtherLiabilitiesFairValueDisclosure" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_OtherNonInterestIncomeMember" abstract="true" name="OtherNonInterestIncomeMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_TrustFeesMember" abstract="true" name="TrustFeesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_ResidentialMortgageBackedSecuritiesAgencyMember" abstract="true" name="ResidentialMortgageBackedSecuritiesAgencyMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_ShortTermDebtAndOtherBorrowingsMaturityYearTwo" abstract="false" name="ShortTermDebtAndOtherBorrowingsMaturityYearTwo" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_MerchantAndCreditCardFeesMember" abstract="true" name="MerchantAndCreditCardFeesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_IncreaseDecreaseInInterestPayableAndOtherLiabilities" abstract="false" name="IncreaseDecreaseInInterestPayableAndOtherLiabilities" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_BankingRegulationTier1RiskBasedCapitalCapitalAdequacyWithBufferMinimum" abstract="false" name="BankingRegulationTier1RiskBasedCapitalCapitalAdequacyWithBufferMinimum" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_SummitFinancialGroupIncMember" abstract="true" name="SummitFinancialGroupIncMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_InterestPaidDeposits" abstract="false" name="InterestPaidDeposits" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_AmortizationOfHousingTaxCredits" abstract="false" name="AmortizationOfHousingTaxCredits" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_InterestPayableAndOtherLiabilities" abstract="false" name="InterestPayableAndOtherLiabilities" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_A2023StockIncentivePlanMember" abstract="true" name="A2023StockIncentivePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_AmortizationOfHistoricTaxCredit" abstract="false" name="AmortizationOfHistoricTaxCredit" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_DepositRelatedFeedMember" abstract="true" name="DepositRelatedFeedMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_NoninterestExpenseMember" abstract="true" name="NoninterestExpenseMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_FinancialServicesBankingAndThriftAbstract" abstract="true" name="FinancialServicesBankingAndThriftAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="bhrb_FederalHomeLoanBankAndUnsecuredFederalFundsAdvancesGeneralDebtObligationsAmountOfAvailableUnusedFunds" abstract="false" name="FederalHomeLoanBankAndUnsecuredFederalFundsAdvancesGeneralDebtObligationsAmountOfAvailableUnusedFunds" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_NumberOfBuildingsSold" abstract="false" name="NumberOfBuildingsSold" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="bhrb_AdvisoryFeesMember" abstract="true" name="AdvisoryFeesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_CertificateOfDepositAccountRegistryServiceCDARSMember" abstract="true" name="CertificateOfDepositAccountRegistryServiceCDARSMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_NonInterestBearingMember" abstract="true" name="NonInterestBearingMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_TrustAssetsAndFeesPolicyTextBlock" abstract="false" name="TrustAssetsAndFeesPolicyTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="bhrb_ServiceChargesAndFeesOtherFeesMember" abstract="true" name="ServiceChargesAndFeesOtherFeesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_AuditInformationAbstract" abstract="true" name="AuditInformationAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="bhrb_CommercialMortgageBackedSecuritiesAgencyMember" abstract="true" name="CommercialMortgageBackedSecuritiesAgencyMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_DefinedBenefitPlanVestingPeriod" abstract="false" name="DefinedBenefitPlanVestingPeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="bhrb_ValuationTechniqueIncomeMarketAndDiscountedCashFlowAnalysisMember" abstract="true" name="ValuationTechniqueIncomeMarketAndDiscountedCashFlowAnalysisMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_DeferredTaxLiabilitiesCompensationAndBenefitsPensions" abstract="false" name="DeferredTaxLiabilitiesCompensationAndBenefitsPensions" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_OtherComprehensiveIncomeLossFairValueHedgeGainLossReclassificationAfterTax" abstract="false" name="OtherComprehensiveIncomeLossFairValueHedgeGainLossReclassificationAfterTax" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_FinancingReceivableExcludingAccruedInterestCreditLossExpenseReversalLoansAndDebtSecuritiesAvailableForSale" abstract="false" name="FinancingReceivableExcludingAccruedInterestCreditLossExpenseReversalLoansAndDebtSecuritiesAvailableForSale" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_WireFeesMember" abstract="true" name="WireFeesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_ProceedsFromSalePaymentsForRepurchaseOfTreasuryStock" abstract="false" name="ProceedsFromSalePaymentsForRepurchaseOfTreasuryStock" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_MeasurementInputExternalAppraisedValuesManagementAssumptionsRegardingMarketTrendsMarketRateForBorrowerOrOtherRelevantFactorsMember" abstract="true" name="MeasurementInputExternalAppraisedValuesManagementAssumptionsRegardingMarketTrendsMarketRateForBorrowerOrOtherRelevantFactorsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_CustomerLoanSwapFeesMember" abstract="true" name="CustomerLoanSwapFeesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_TwoThousandTwentyOneDeferredCompensationPlanMember" abstract="true" name="TwoThousandTwentyOneDeferredCompensationPlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_A2023EmployeeStockPurchasePlanMember" abstract="true" name="A2023EmployeeStockPurchasePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="bhrb_BankingRegulationTier1RiskBasedCapitalRatioCapitalAdequacyWithBufferMinimum" abstract="false" name="BankingRegulationTier1RiskBasedCapitalRatioCapitalAdequacyWithBufferMinimum" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="bhrb_ShortTermDebtAndOtherBorrowingsMaturityYearOne" abstract="false" name="ShortTermDebtAndOtherBorrowingsMaturityYearOne" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfShareBasedAwardsIssued" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfShareBasedAwardsIssued" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
</xs:schema>
