Woodsboro is a town in Refugio County, Texas, United States. The population was 1,319 at the 2020 census. Woodsboro is located at 28°14′16″N 97°19′30″W / 28.23778°N 97.32500°W. According to the United States Census Bureau, the town has a total area of 0.8 square miles, all land.