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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2023
Mar. 31, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
May 11, 2023
May 10, 2023
Board of Directors [Member]              
Share-Based Payment Arrangement, Expense $ 0   $ 0 $ 200 $ 351    
Restricted Stock Units (RSUs) [Member]              
Share-Based Payment Arrangement, Expense $ 69   $ 56 $ 207 $ 190    
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 10,000 13,727   23,727      
Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount $ 494     $ 494      
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 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)   9,147          
Restricted Stock Units (RSUs) [Member] | Vesting in February 2025 [Member]              
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 4,000            
Restricted Stock Units (RSUs) [Member] | Vesting on a Three Year Schedule [Member]              
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 6,000            
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)           325,000 325,000