Silverton is a city in Briscoe County, Texas, United States. The population was 629 at the 2020 census. Silverton was established when Thoma…Silverton is a city in Briscoe County, Texas, United States. The population was 629 at the 2020 census. Silverton was established when Thomas J. Braidfoot and associates formed a townsite company, with the name reportedly derived from the silvery reflections of nearby lakes. The town quickly developed with a post office, stores, a blacksmith shop, and a school by the fall of 1891. In 1892, Silverton won a special election, becoming the county seat over two rival townsites. The construction of a two-story courthouse and a stone jail followed. The town saw the opening of the first bank in 1909 and the construction of a new brick schoolhouse in 1911.