Adrian is a city in Oldham County, Texas, United States. The population was 128 at the 2020 census, down from 166 at the 2010 census. Th…Adrian is a city in Oldham County, Texas, United States. The population was 128 at the 2020 census, down from 166 at the 2010 census. The city is intersected by Interstate 40 and Texas State Highway 214.