Easton is a city in Faribault County, Minnesota, United States. The population was 199 at the 2010 census. Easton had its start when th…Easton is a city in Faribault County, Minnesota, United States. The population was 199 at the 2010 census. Easton had its start when the railroad was extended to that point. The town was platted in 1873, and named for one of its founders, Jason Clark Easton. A post office has been in operation at Easton since 1874.