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Note 22 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Mar. 31, 2022
Dec. 31, 2022
Dec. 31, 2021
May 13, 2014
Board of Directors [Member]        
Share-Based Payment Arrangement, Expense   $ 481 $ 127  
Restricted Stock Units (RSUs) [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 10,110 10,110    
Share-Based Payment Arrangement, Expense   $ 304 $ 226  
Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount   $ 310    
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) 3,375      
Restricted Stock Units (RSUs) [Member] | Vesting After One Year [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 3,370      
Restricted Stock Units (RSUs) [Member] | Vesting After Two Years [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 3,365      
Board of Directors [Member] | Common Stock [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares)   7,500    
Employee Stock Ownership Plan [Member] | Common Stock [Member]        
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares)   27,134    
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