There are 10 US Post Offices in Meigs County serving a total of 20,198 residents equating to 2,020 residents per post office. It's estimated that approximately 32,238 packages are handled across the 10 county post offices annually. Meigs County is a county located in the U.S. state of Ohio. As of the 2010 census, the population was 23,770. Its county seat is Pomeroy. The county is named for Return J. Meigs, Jr., the fourth Governor of Ohio."