Norfolk is a town in Norfolk County, Massachusetts, United States, with a population of 11,227 people at the 2010 census.Formerly known as North Wrentham, Norfolk broke away to become an independent town in 1870.ccording to the United States Census Bureau, the town has a total area of 15.2 square miles (39 km 2), of which 14.8 square miles (38 km 2) is land and 0.3 square miles (0.78 km 2) (2.30%) is water.