Career
He played college football at Dartmouth College as a tackle from 1909 to 1911. Elcock served as the head football coach at Washington and Lee University from 1914 to 1916 and at Oglethorpe University from 1920 to 1921, compiling a career college football coaching record of 30–11–4. Elcock was a native of Dorchester, Massachusetts.
He graduated from Dartmouth in 1912 and served as an assistant football coach at his alma mater under Frank Cavanaugh in 1913.