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Fair Value Measurement, on Recurring Basis, Unobservble Input Reconciliation (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2013
Dec. 31, 2014
Impaired Loans [Abstract]      
Loans $ 444,704us-gaap_LoansAndLeasesReceivableGrossCarryingAmount   $ 440,461us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
Available-for-sale Securities [Member]      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance, beginning of period   0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
 
Total gain (losses) realized/unrealized included in earnings 0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
 
Total gain (losses) realized/unrealized included in other comprehensive income 0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInOtherComprehensiveIncomeLoss
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInOtherComprehensiveIncomeLoss
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
 
Transfers in and/or out of level 3 and 2 0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
 
Balance, end of period 0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
0us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue
/ us-gaap_FairValueByAssetClassAxis
= us-gaap_AvailableforsaleSecuritiesMember
 
Fair Value, Measurements, Nonrecurring [Member] | Significant Unobservable Inputs (Level 3) [Member] | Impaired Loans [Member]      
Impaired Loans [Abstract]      
Age of appraisal of real estate property for to be considered level 3, minimum 1 year    
Fair Value, Measurements, Nonrecurring [Member] | Significant Unobservable Inputs (Level 3) [Member] | Impaired Loans [Member] | Mortgage secured by real estate [Member]      
Impaired Loans [Abstract]      
Number of loans 1us-gaap_MortgageLoansOnRealEstateNumberOfLoans
/ us-gaap_FairValueByAssetClassAxis
= fbss_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_ResidentialMortgageMember
   
Loans 318us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FairValueByAssetClassAxis
= fbss_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_ResidentialMortgageMember
   
Reserve for loan losses 278us-gaap_AllowanceForLoanAndLeaseLossesRealEstate
/ us-gaap_FairValueByAssetClassAxis
= fbss_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_ResidentialMortgageMember
   
Fair Value, Measurements, Nonrecurring [Member] | Significant Unobservable Inputs (Level 3) [Member] | Impaired Loans [Member] | Mortgage secured by business assets [Member]      
Impaired Loans [Abstract]      
Number of loans 2us-gaap_MortgageLoansOnRealEstateNumberOfLoans
/ us-gaap_FairValueByAssetClassAxis
= fbss_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_CollateralizedMortgageObligationsMember
   
Loans 141us-gaap_LoansAndLeasesReceivableGrossCarryingAmount
/ us-gaap_FairValueByAssetClassAxis
= fbss_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_CollateralizedMortgageObligationsMember
   
Reserve for loan losses 132us-gaap_AllowanceForLoanAndLeaseLossesRealEstate
/ us-gaap_FairValueByAssetClassAxis
= fbss_ImpairedLoansMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_FinancialInstrumentsOwnedAndPledgedAsCollateralAxis
= us-gaap_CollateralizedMortgageObligationsMember
   
Fair Value, Measurements, Nonrecurring [Member] | Significant Unobservable Inputs (Level 3) [Member] | Other Real Estate Owned [Member]      
Impaired Loans [Abstract]      
Total Valuation of Property $ 1,406fbss_TotalValuationOfProperty
/ us-gaap_FairValueByAssetClassAxis
= fbss_OtherRealEstateOwnedMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
  $ 1,406fbss_TotalValuationOfProperty
/ us-gaap_FairValueByAssetClassAxis
= fbss_OtherRealEstateOwnedMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember