There are 10 US Post Offices in Hampton County serving a total of 20,087 residents equating to 2,009 residents per post office. It's estimated that approximately 32,061 packages are handled across the 10 county post offices annually. Hampton County is a rural county located in the U.S. state of South Carolina. As of the 2010 census, the population was 21,090. Its county seat is Hampton. It was named for Confederate Civil War general Wade Hampton, who in the late 1870s was elected as governor of South Carolina. The county includes two small urban clusters: Hampton (2000 pop.: 4,011) and Estill (3,637)."