Wadsworth is an unincorporated community in Matagorda County, Texas, United States. According to the Handbook of Texas, the community had an estimated population of 180 in 2000. Wadsworth is located at 28°49′21″N 95°55′39″W / 28.82250°N 95.92750°W. It is situated at the junction of State Highway 60 and Farm Roads 521 and 2078 in south central Ma…Wadsworth is an unincorporated community in Matagorda County, Texas, United States. According to the Handbook of Texas, the community had an estimated population of 180 in 2000. Wadsworth is located at 28°49′21″N 95°55′39″W / 28.82250°N 95.92750°W. It is situated at the junction of State Highway 60 and Farm Roads 521 and 2078 in south central Matagorda County, approximately eleven miles south of Bay City.