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Note 22 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
12 Months Ended
Feb. 08, 2023
Dec. 31, 2023
Dec. 31, 2022
May 10, 2023
Board of Directors [Member]        
Share-Based Payment Arrangement, Expense   $ 402 $ 481  
Common Stock [Member] | Board of Directors [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares)   11,700    
Restricted Stock Units (RSUs) [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 13,727 23,727    
Share-Based Payment Arrangement, Expense   $ 351 $ 304  
Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount   $ 351    
Restricted Stock Units (RSUs) [Member] | Vesting Immediately [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 4,580      
Restricted Stock Units (RSUs) [Member] | Vesting After One Year [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 4,575      
Restricted Stock Units (RSUs) [Member] | Vesting After Two Years [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 4,572      
First National Corporation 2023 Stock Incentive Plan [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares)       325,000
Employee Stock Ownership Plan [Member] | Common Stock [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares)   21,302