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Rights Offering of Common Stock - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Equity [Abstract]  
Sale of common shares under rights offering 1,945,815fxnc_StockIssuedDuringPeriodSharesRightsExercised
Rights exercised by existing shareholders 1,520,815fxnc_NumberOfRightsToPurchaseCommonStockExercisedDuringPeriod
Subscription price of share $ 4.00us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
Rights purchased by standby investors 425,000fxnc_NumberOfAdditionalRightsToPurchaseCommonStockExercisedDuringPeriod
Proceeds from rights issued, net of offering costs $ 7.6fxnc_ProceedsFromSaleOfCommonStockInRightsOffering