Wheeler is a city, and the county seat of Wheeler County, Texas, United States, located on the eastern border of the Texas Panhandle. The p…Wheeler is a city, and the county seat of Wheeler County, Texas, United States, located on the eastern border of the Texas Panhandle. The population was last reported at 1,487 in the 2020 census. Both the town of Wheeler and Wheeler County are named for Royall Tyler Wheeler, who was a Chief Justice of the Texas Supreme Court.