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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2025
Mar. 31, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
May 10, 2023
Share-Based Payment Arrangement, Expense $ 404   $ 227 $ 404 $ 227  
Restricted Stock Units (RSUs) [Member]            
Share-Based Payment Arrangement, Expense       $ 627 240  
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 $ 1,200   $ 366 $ 1,200 $ 366  
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