There are 5 US Post Offices in Runnels County serving a total of 11,238 residents equating to 2,248 residents per post office. It's estimated that approximately 17,937 packages are handled across the 5 county post offices annually. Runnels County is a county located in the U.S. state of Texas. As of the 2010 census, its population was 10,501. Its county seat is Ballinger. The county was created in 1858 and later organized in 1880. It is named for Hiram G. Runnels, a Texas state legislator."