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Note 13 - Stock Compensation Plans (Details Textual)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2020
USD ($)
shares
Mar. 31, 2020
shares
Sep. 30, 2020
USD ($)
shares
Sep. 30, 2019
USD ($)
May 13, 2014
shares
Restricted Stock Units (RSUs) [Member]          
Share-based Payment Arrangement, Expense | $     $ 204 $ 92  
Restricted Stock, Vested, Conversion Ratio     1    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares)   14,457 14,457    
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount | $ $ 213   $ 213    
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)   4,825      
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)   9,632      
Board of Directors [Member]          
Stock Issued During Period, Shares, New Issues (in shares) 3,500        
Share-based Payment Arrangement, Expense | $     $ 50 $ 67  
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