Ravenna is a city in Fannin County, Texas, United States. The population was 175 at the 2020 census. Ravenna is located in northwestern Fan…Ravenna is a city in Fannin County, Texas, United States. The population was 175 at the 2020 census. Ravenna is located in northwestern Fannin County. It is 9 miles northwest of Bonham, the county seat, 14 miles northeast of Bells, and 5 miles southeast of the Red River, the Oklahoma border.