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.

Bagshaw was born in Flint, Flintshire, Wales and moved in 1892 with his family to the State of Washington, where he was raised.

He died at the age of 46, on October 3, 1930, after collapsing at the Old Capitol Building in Olympia, Washington.

This biographical article relating to a college football coach first appointed in the 1920s is a stub.