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Note 14 - Employee Benefits (Details Textual) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Intrinsic Value $ 185,356 $ 538,000
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period 12,300 8,237
Restricted Stock [Member]    
Stock Issued During Period, Shares, Share-based Compensation, Net of Forfeitures, Total 0  
Employee Stock Option [Member]    
Payments For Stock Options Exercised $ 85,000 $ 95,000
Restricted Stock Units (RSUs) [Member]    
Stock Issued During Period, Shares, Share-based Compensation, Net of Forfeitures, Total 11,351 5,825
Allocated Share-based Compensation Expense, Total $ 286,000 $ 196,000
Employee Service Share-based Compensation, Nonvested Awards, Compensation Not yet Recognized, Share-based Awards Other than Options $ 453,000  
Retirement Plan [Member]    
Defined Contribution Plan Employer Voluntary Matching Bank Contribution 50.00% 50.00%
Defined Contribution Plan, Employer Matching Contribution, Percent of Employees' Gross Pay 6.00% 6.00%
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 6 years  
Defined Benefit Plan, Plan Assets, Contributions by Employer $ 306,000 $ 258,000
Retirement Plan [Member] | Middlefield Banking Company [Member]    
Defined Contribution Plan Annual Vesting Percentage 20.00%  
Retirement Plan [Member] | Liberty Bank, N.A. [Member]    
Deferred Compensation Arrangement with Individual, Requisite Service Period 3 years  
Directors Retirement Plan [Member] | Middlefield Banking Company [Member]    
Deferred Compensation Arrangement with Individual, Requisite Service Period 5 years  
Retirement Benefits Term 10 years  
Postretirement Benefits Percentage of Compensation 25.00%  
Executive Deferred Compensation Plan [Member] | Middlefield Banking Company [Member]    
Deferred Compensation Arrangement with Individual, Recorded Liability $ 504,000 912,000
Defined Contribution Plan, Employer Discretionary Contribution Amount $ 98,000 $ 110,000
Stock Option and Restricted Stock Plan [Member]    
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized 160,000  
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Term 10 years  
Shares, Outstanding, Ending Balance 7,450  
The 2017 Plan [Member]    
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized 224,000  
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Term 10 years  
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant 201,708  
Omnibus Equity Plan [Member]    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Gross 0 0
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost, Total $ 215,000 $ 0