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Note 7 - Stock Compensation Plans (Details Textual) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2022
Mar. 31, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
May 13, 2014
Board of Directors [Member]            
Share-Based Payment Arrangement, Expense $ 131   $ 0 $ 481 $ 0  
Restricted Stock Units (RSUs) [Member]            
Share-Based Payment Arrangement, Expense 56   $ 54 $ 247 $ 172  
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, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount $ 367     $ 367    
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 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)   6,735        
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