There are 5 US Post Offices in Young County serving a total of 19,023 residents equating to 3,805 residents per post office. It's estimated that approximately 30,363 packages are handled across the 5 county post offices annually. Young County is a county located in the U.S. state of Texas. As of the 2010 census, its population was 18,550. Its county seat is Graham. The county was created in 1856 and organized in 1874. It is named for William Cocke Young, an early Texas settler and soldier."