There are 8 US Post Offices in Monroe County serving a total of 13,683 residents equating to 1,710 residents per post office. It's estimated that approximately 21,840 packages are handled across the 8 county post offices annually. Monroe County is a county located in the U.S. state of Ohio. As of the 2010 census, the population was 14,642, making it the second-least populous county in Ohio. Its county seat is Woodsfield. The county was created in 1813 and later organized in 1815."