There are 3 US Post Offices in Graham County serving a total of 2,244 residents equating to 748 residents per post office. It's estimated that approximately 3,582 packages are handled across the 3 county post offices annually. Graham County (county code GH) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 2,597. Its county seat and most populous city is Hill City. The county is home to Nicodemus, founded 1877, which is the only remaining western town established by African Americans during the Reconstruction Period following the American Civil War."