There are 18 US Post Offices in Letcher County serving a total of 23,290 residents equating to 1,294 residents per post office. It's estimated that approximately 37,173 packages are handled across the 18 county post offices annually. Letcher County is a county located in the U.S. state of Kentucky. As of the 2010 census, the population was 24,519. Its county seat is Whitesburg. The county, founded in 1842, is named for Robert P. Letcher, Governor of Kentucky from 1840-1844. Letcher County is a dry county, with the only exceptions being the Highland Winery, the city of Whitesburg, and the city of Jenkins. The killing of filmmaker Hugh O'Connor by a local landowner in 1967 brought Letcher County to national attention."