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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2024
Mar. 31, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
May 10, 2023
Board of Directors [Member]            
Share-Based Payment Arrangement, Expense $ 227   $ 202 $ 227 $ 402  
Restricted Stock Units (RSUs) [Member]            
Share-Based Payment Arrangement, Expense 38   $ 72 $ 240 $ 279  
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares)   13,412   13,412    
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 366     $ 366    
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        
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period (Year)   2 years        
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Rights, Percentage   50.00%        
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