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Note 4 - Securities (Details Textual)
3 Months Ended 9 Months Ended
Jun. 30, 2018
USD ($)
Sep. 30, 2019
USD ($)
Sep. 30, 2018
USD ($)
Dec. 31, 2018
USD ($)
Debt Securities, Held-to-maturity, Fair Value, Total $ 119,790,000      
Debt Securities, Held-to-maturity, Amortized Cost, before Other-than-temporary Impairment 118,662,000      
Other Comprehensive Income (Loss), Transfers from Held-to-maturity to Available-for-Sale Securities, before Tax $ 1,128,000 $ 1,128,000  
Number of Temporarily Impaired Securities   111    
Available-for-sale and Held to Maturity Securities Continuous Unrealized Loss Position Fair Value   $ 149,423,000    
Continuous Unrealized Loss Position Aggregate Losses   $ 774,000    
Number of Temporarily Impaired Securities Greater than Twelve Months   73    
Continuous Unrealized Loss Position Twelve Months or Longer Fair Value   $ 72,369,000   $ 281,626,000
Continuous Unrealized Loss Position 12 Months or Longer Aggregate Losses   265,000   7,365,000
National Bank of Blacksburg [Member] | Federal Home Loan Bank of Atlanta [Member]        
Federal Home Loan Bank, Advances, General Debt Obligations, Disclosures, Collateral Pledged   526,568    
Restricted Stock [Member]        
Restricted Investments   $ 1,220,000   1,220,000
US Government Agencies Debt Securities [Member]        
Number of Temporarily Impaired Securities   72    
Available-for-sale and Held to Maturity Securities Continuous Unrealized Loss Position Fair Value   $ 71,778,000    
Continuous Unrealized Loss Position Aggregate Losses   217,000    
Continuous Unrealized Loss Position Twelve Months or Longer Fair Value   71,778,000   259,992,000
Continuous Unrealized Loss Position 12 Months or Longer Aggregate Losses   $ 217,000   6,450,000
US States and Political Subdivisions Debt Securities [Member]        
Number of Temporarily Impaired Securities   1    
Available-for-sale and Held to Maturity Securities Continuous Unrealized Loss Position Fair Value   $ 591,000    
Continuous Unrealized Loss Position Aggregate Losses   48,000    
Continuous Unrealized Loss Position Twelve Months or Longer Fair Value   591,000   20,758,000
Continuous Unrealized Loss Position 12 Months or Longer Aggregate Losses   $ 48,000   $ 814,000