Greenwich is a village in Huron County, Ohio, United States. The population was 1,409 at the 2020 census. It is served by a branch of the Willard Memorial Library. A post office called Greenwich was established in 1828 and the municipality was incorporated as a village in 1879. The village name comes from Greenwich Township, which is named afte…Greenwich is a village in Huron County, Ohio, United States. The population was 1,409 at the 2020 census. It is served by a branch of the Willard Memorial Library. A post office called Greenwich was established in 1828 and the municipality was incorporated as a village in 1879. The village name comes from Greenwich Township, which is named after the town of Greenwich, Connecticut.