There are 4 US Post Offices in Morgan County serving a total of 17,332 residents equating to 4,333 residents per post office. It's estimated that approximately 27,664 packages are handled across the 4 county post offices annually. Morgan County is a county located in the U.S. state of Georgia. As of the 2010 census, the population was 17,868. The county seat is Madison, Georgia.