Morrison is a town in Brown County in the U.S. state of Wisconsin. The population was 1,599 at the 2010 census. Morrison is located in southern Brown County and is bounded by Manitowoc County to the south and the east. According to the United States Census Bureau, the town has a total area of 36.43 square miles, of which 36.30 square miles is land and …Morrison is a town in Brown County in the U.S. state of Wisconsin. The population was 1,599 at the 2010 census. Morrison is located in southern Brown County and is bounded by Manitowoc County to the south and the east. According to the United States Census Bureau, the town has a total area of 36.43 square miles, of which 36.30 square miles is land and 0.14 square miles, or 0.37%, is water.