There are 2 US Post Offices in Greensville County serving a total of 2,868 residents equating to 1,434 residents per post office. It's estimated that approximately 4,578 packages are handled across the 2 county post offices annually. Greensville County is a county located in the Commonwealth of Virginia. As of the 2010 census, the population was 12,243. Its county seat is Emporia."