There are 10 US Post Offices in Leslie County serving a total of 9,216 residents equating to 922 residents per post office. It's estimated that approximately 14,710 packages are handled across the 10 county post offices annually. Leslie County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 11,310. Its county seat is Hyden. Leslie is a prohibition or dry county."