Fairway is a city in Johnson County, Kansas, United States, and part of the Kansas City Metropolitan Area. As of the 2010 census, the city population was 3,882. In the 1820s, this area was reserved for use by the Shawnee people, who had ceded lands east of the Mississippi River to the United States government. The Shawnee Methodist Mission was moved here in 1839, when a school for the Shawnee was established. After the American Civil War, the Shawnee were relocated to Indian Territory (present-day Oklahoma.) The mission is a National Historic Landmark and today is operated as a museum.