There are 11 US Post Offices in Graves County serving a total of 39,146 residents equating to 3,559 residents per post office. It's estimated that approximately 62,481 packages are handled across the 11 county post offices annually. Graves County is a county located in the U.S. Commonwealth of Kentucky. As of the 2010 census, the population was 37,121. Its county seat is Mayfield. The county was formed in 1824 and was named for Major Benjamin Franklin Graves, soldier in the War of 1812. Graves County comprises the Mayfield, KY Micropolitan Statistical Area, which is included in the Paducah-Mayfield, KY-IL Combined Statistical Area. Graves County is a \"limited\" dry county, meaning that sale of alcohol in the county is prohibited except for wine and beer. The city of Mayfield has full alcohol service in both bars and restaurants."