There are 5 US Post Offices in Edmonson County serving a total of 7,155 residents equating to 1,431 residents per post office. It's estimated that approximately 11,420 packages are handled across the 5 county post offices annually. Edmonson County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 12,161. Its county seat is Brownsville. The county was formed in 1825 and named for Captain John \"Jack\" Edmonson (1764\u20131813), who was killed at the Battle of Frenchtown during the War of 1812. The sale of alcohol is currently prohibited in Edmonson County. Edmonson County is included in the Bowling Green, KY Metropolitan Statistical Area."