Frederick Gay Carter (February 28, 1888 â February 19, 1956) was an American college football and college basketball coach and hospital administrator. He served as the head football coach at La Crosse State Normal SchoolâÂÂnow known as the University of WisconsinâÂÂLa CrosseâÂÂfrom 1912 to 1914 and at the Colorado School of Mines in 1916. Carter was later president of the American Hospital Association and vice president of development at St. Luke's Hospital in Cleveland. He died there on February 19, 1956.