Enoch Williams Bagshaw (January 31, 1884 – October 3, 1930) was an American football player and coach. From 1921 to 1929, he served as the head football coach at the University of Washington, compiling a 63–22–6 record. His 1923 and 1926 squads went 10–1–1, equaling the best marks of his career. He was a five-year starter on the football team at Washington.