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Note 13 - Stock Compensation Plans (Details Textual)
$ in Thousands
3 Months Ended
Mar. 31, 2020
USD ($)
shares
Mar. 31, 2019
USD ($)
May 13, 2014
shares
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period (in shares) 14,457    
Restricted Stock [Member]      
Share-based Payment Arrangement, Expense | $ $ 132 $ 43  
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    
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount | $ $ 285    
Restricted Stock [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 [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    
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
Share-based Payment Arrangement, Expense | $ $ 0 $ 0