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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2025
Jun. 30, 2025
Jun. 30, 2024
May 10, 2023
Share-Based Payment Arrangement, Expense   $ 0 $ 0  
Restricted Stock Units (RSUs) [Member]        
Share-Based Payment Arrangement, Expense   $ 445 202  
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 18,455 18,455    
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount   $ 1,400 $ 404  
Restricted Stock Units (RSUs) [Member] | Vesting on February 15, 2025 [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 3,851      
Restricted Stock Units (RSUs) [Member] | Three Year Vesting [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 14,604      
Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period (Year) 3 years      
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