Watson is a city in Chippewa County, Minnesota, United States. The population was 205 at the 2010 census. Lac qui Parle State Park is n…Watson is a city in Chippewa County, Minnesota, United States. The population was 205 at the 2010 census. Lac qui Parle State Park is nearby. Watson was platted in 1879 when the railroad was extended to that point. The city took its name from the Watson Farmers Elevator, a local grain elevator. A post office has been in operation in Watson since 1879.