Hornellsville is a town in Steuben County, New York, United States. The population, not counting the city of Hornell, was 4,039 at the 2020 ce…Hornellsville is a town in Steuben County, New York, United States. The population, not counting the city of Hornell, was 4,039 at the 2020 census. The name is taken from a prominent pioneer family. The Town of Hornellsville is at the western border of the county, and surrounds the city of Hornell. Until 1906, the city of Hornell was named Hornellsville.