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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
May 10, 2023
Board of Directors [Member]      
Share-Based Payment Arrangement, Expense $ 0 $ 200  
Restricted Stock Units (RSUs) [Member]      
Share-Based Payment Arrangement, Expense $ 142 $ 138  
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 13,412    
Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount $ 464    
Restricted Stock Units (RSUs) [Member] | Vesting on February 15, 2024 [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 4,475    
Restricted Stock Units (RSUs) [Member] | Vesting One Half Each Year for Two Years [Member]      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 8,937    
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