Young County is a county located in the U.S. state of Texas. As of the 2020 census, its population was 17,867. 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.

Brown County is a county in west-central Texas. As of the 2020 census, the population was 38,095. Its county seat is Brownwood. The county was founded in 1856 and organized in 1858. It is named for Henry Stevenson Brown, a commander at the Battle of Velasco, an early conflict between Texians and Mexicans.