Dunn is an unincorporated community in southern Scurry County, Texas, United States. It lies along State Highway 208 south of the city of Snyder, the county seat of Scurry County. Its elevation is 2,218 feet (676 m). Although Dunn is unincorporated, it has a post office, with the ZIP code of 79516.Historical Marker Text: Dunn: Started as change station for teams hauling goods north after T. & P. Railway reached Colorado City in 1881. Freighters camped here beside creek.