Stockbridge is a village in Calumet County, Wisconsin, United States. The population was 678 at the 2020 census. The village lies within the Town of Stockbridge. Stockbridge is known as "The Sturgeon Capital of the World," and was named after the Stockbridge Indians after they moved here in the 1830s from Stockbridge, New York, where they had settled after bein…Stockbridge is a village in Calumet County, Wisconsin, United States. The population was 678 at the 2020 census. The village lies within the Town of Stockbridge. Stockbridge is known as "The Sturgeon Capital of the World," and was named after the Stockbridge Indians after they moved here in the 1830s from Stockbridge, New York, where they had settled after being expelled from Stockbridge, Massachusetts.