There are 4 US Post Offices in Menifee County serving a total of 6,369 residents equating to 1,592 residents per post office. It's estimated that approximately 10,166 packages are handled across the 4 county post offices annually. Menifee County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 6,306, making it the fifth-least populous county in Kentucky. Its county seat is Frenchburg. The county is named for Richard Hickman Menefee, U.S. Congressman, although the spelling has changed. It is a prohibition or dry county. Menifee County is part of the Mount Sterling, KY Micropolitan Statistical Area, which is also included in the Lexington-Fayette-Richmond-Frankfort, KY Combined Statistical Area. It is located in the foothills of the Cumberland Plateau."