Cambridge is a township in Coös County in the state of New Hampshire. The population was 16 at the 2020 census, up from 8 at the 2010 census. In New Hampshire, locations, grants, townships, and purchases are unincorporated portions of a county which are not part of any town and have limited self-government. Cambridge is part of the Berlin, NH-V…Cambridge is a township in Coös County in the state of New Hampshire. The population was 16 at the 2020 census, up from 8 at the 2010 census. In New Hampshire, locations, grants, townships, and purchases are unincorporated portions of a county which are not part of any town and have limited self-government. Cambridge is part of the Berlin, NH-VT Micropolitan Statistical Area.