The Mark Twain Golf Course is a public 18-hole golf course in the Town of Horseheads, owned and operated by the City of Elmira, New York. It was designed by the famous golf course architect Donald Ross. It was built in 1937 as a public works project during the Great Depression by the Works Progress Administration. The course was named after Mark Twain, who summered and wrote in Elmira for over 20 years. Scenic, plush greens, challenging.