There are 9 US Post Offices in Adams County serving a total of 31,280 residents equating to 3,476 residents per post office. It's estimated that approximately 49,926 packages are handled across the 9 county post offices annually. Adams County is a county located in the U.S. state of Ohio. As of the 2010 census, the population was 28,550. Its county seat is West Union. The county is named after John Adams, the second President of the United States."