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  <xs:element id="bhrb_SecuritiesUnrealizedLoss" abstract="false" name="SecuritiesUnrealizedLoss" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <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_CommercialMortgageBackedSecuritiesNonAgencyMember" abstract="true" name="CommercialMortgageBackedSecuritiesNonAgencyMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_OtherNetworkExpenses" abstract="false" name="OtherNetworkExpenses" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" 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_RightOfUseAssetObtainedInExchangeForOperatingAndFinanceLeaseLiability" abstract="false" name="RightOfUseAssetObtainedInExchangeForOperatingAndFinanceLeaseLiability" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_LeaseRightOfUseAsset" abstract="false" name="LeaseRightOfUseAsset" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_LessorFinancingLeasePaymentToBeReceivedAfterYearFour" abstract="false" name="LessorFinancingLeasePaymentToBeReceivedAfterYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_PaycheckProtectionProgramMember" abstract="true" name="PaycheckProtectionProgramMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_AssetsAndLiabilitiesLesseeTableTextBlock" abstract="false" name="AssetsAndLiabilitiesLesseeTableTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:textBlockItemType"/>
  <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_StateAndMunicipalSecuritiesMember" abstract="true" name="StateAndMunicipalSecuritiesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <xs:element id="bhrb_A2020StockIncentivePlanMember" abstract="true" name="A2020StockIncentivePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1: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_AmortizationOfHistoricTaxCredit" abstract="false" name="AmortizationOfHistoricTaxCredit" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" 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_FinancingReceivableExcludingAccruedInterestCreditLossExpenseReversalIncludingUnfundedAmount" abstract="false" name="FinancingReceivableExcludingAccruedInterestCreditLossExpenseReversalIncludingUnfundedAmount" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <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_CommercialMortgageBackedSecuritiesAgencyMember" abstract="true" name="CommercialMortgageBackedSecuritiesAgencyMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types1:domainItemType"/>
  <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_AccruedInterestReceivableFairValueDisclosure" abstract="false" name="AccruedInterestReceivableFairValueDisclosure" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <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_ConsultantFees" abstract="false" name="ConsultantFees" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_IncreaseDecreaseInCustomerLoans" abstract="false" name="IncreaseDecreaseInCustomerLoans" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_OperatingAndFinanceLeaseLiabilityAbstract" abstract="true" name="OperatingAndFinanceLeaseLiabilityAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="bhrb_ShortTermDebtAndOtherBorrowingsMaturityRemainderOfFiscalYear" abstract="false" name="ShortTermDebtAndOtherBorrowingsMaturityRemainderOfFiscalYear" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <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_LessorOperatingLeasePaymentToBeReceivedAfterYearFour" abstract="false" name="LessorOperatingLeasePaymentToBeReceivedAfterYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_GainLossOnLoansHeldForSaleFairValueAdjustment" abstract="false" name="GainLossOnLoansHeldForSaleFairValueAdjustment" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="bhrb_FinancialServicesBankingAndThriftAbstract" abstract="true" name="FinancialServicesBankingAndThriftAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <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_InterestPaidBorrowings" abstract="false" name="InterestPaidBorrowings" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
</xs:schema>
