Maxwell is a city in Story County, Iowa, United States. The population was 859 at the time of the 2020 census. It is part of the Ames, Iowa Metro…Maxwell is a city in Story County, Iowa, United States. The population was 859 at the time of the 2020 census. It is part of the Ames, Iowa Metropolitan Statistical Area, which is a part of the larger Ames-Boone, Iowa Combined Statistical Area.