There are 2 US Post Offices in Wilbarger County serving a total of 13,153 residents equating to 6,577 residents per post office. It's estimated that approximately 20,994 packages are handled across the 2 county post offices annually. Wilbarger County is a county located in the U.S. state of Texas. As of the 2010 census, the population was 13,535. The county seat is Vernon. The county was created in 1858 and later organized in 1881. Wilbarger is named for Josiah Pugh Wilbarger and Mathias Wilbarger, two early settlers."