Wheeler County is a county located in the U.S. state of Texas. As of the 2020 census, its population was 4,990. Its county seat is Wheeler. The county was formed in 1876 and organized in 1879. It is named for Royall Tyler Wheeler, a chief justice of the Texas Supreme Court. Wheeler County was formerly one of 30 entirely dry counties in the state of Texas. However, circa 2010, the community of Shamrock, located in Wheeler County at the intersection of Interstate 40 and U.S. Highway 83, voted to allow liquor sales.