Eliot Varnum Graves (September 24, 1882 – 1967) was an American football player and coach of football and basketball. He served as the head football coach at Lawrence University in Appleton, Wisconsin from 1906 to 1908, compiling a record of 11–10. Graves was also the head basketball coach at Lawrence from 1907 to 1909, tallying a mark of 13–6. Graves played football at the University of Nebraska–Lincoln in 1903. He was the son of Episcopalian bishop Anson Rogers Graves.