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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
May 11, 2023
May 13, 2014
Board of Directors [Member]        
Share-Based Payment Arrangement, Expense $ 200 $ 352    
Restricted Stock Units (RSUs) [Member]        
Share-Based Payment Arrangement, Expense $ 138 $ 134    
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 13,727      
Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount $ 411      
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      
First National Corporation 2014 Stock Incentive Plan [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares)       240,000
First National Corporation 2023 Stock Incentive Plan [Member] | Subsequent Event [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares)     325,000