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Note 10 - Junior Subordinated Debt (Details Textual) - USD ($)
$ in Millions
Jul. 31, 2006
Jun. 17, 2004
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
First National (VA) Statutory Trust II [Member]          
Proceeds from Issuance of Trust Preferred Securities   $ 5.0      
Debt Instrument, Interest Rate, Effective Percentage     5.64% 7.34%  
Junior Subordinated Debenture Owed to Unconsolidated Subsidiary Trust, Total         $ 5.2
First National (VA) Statutory Trust III [Member]          
Proceeds from Issuance of Trust Preferred Securities $ 4.0        
Debt Instrument, Interest Rate, Effective Percentage     5.59% 5.34%  
Junior Subordinated Debenture Owed to Unconsolidated Subsidiary Trust, Total         $ 4.1