The 1904 Illinois Fighting Illini football team was an American football team that represented the University of Illinois during the 1904 Western Conference football season. Coached by Arthur R. Hall, Justa Lindgren, Fred Lowenthal, and Clyde Mathews, the Illini compiled a 9âÂÂ2âÂÂ1 record and finished in fourth place in the Western Conference. Guard Charles A. Fairweather was the team captain.