Mansfield is a city in Wright County, Missouri, United States. The population was 1,296 at the 2010 census. Mansfield was platted in 1…Mansfield is a city in Wright County, Missouri, United States. The population was 1,296 at the 2010 census. Mansfield was platted in 1882 by F. M. Mansfield, and named for him. A post office called Mansfield has been in operation since 1882.