He played at the end, halfback, fullback, and quarterback positions for Fielding H. Yost's renowned 1901, 1902 and 1903 "Point-a-Minute" football teams.

[3] At the time of the 1900 United States census, Graver was living in Chicago with his parents, four brothers (James, William, Philip and Alexander), and two servants.

During Graver's three years as a varsity football player, the Michigan Wolverines did not lose a game, compiling a three-year record of 33–0–1 and outscoring opponents 1,759 to 18.

Graver was one of the lighter men on Michigan's football teams at 163 pounds, but it was said that he made up for his small size with aggressive playing.

[6] According to a newspaper account of the game, "Yost's 'point a minute machine'" showed terrific speed in scoring 36 points in the first half, and "Graver ran Ohio's ends at will and in the open field it seemed impossible to tackle him.

"[7] Graver scored a total of 15 touchdowns for the 1903 season, one more than College Football Hall of Fame inductee Willie Heston.

[8] Injuries required Yost to fill holes at the fullback and quarterback positions, and Graver was the player he called on.

The Suburbanite Economist reported: "The wedding will be a home affair, and the young couple will leave immediately for a month's trip through northern Canada and to the northwest.

[22] The home was designed by John Todd Hetherington, is currently used as the headquarters of the Ridge Historical Society, and is listed in the AIA Guide to Chicago as one of the city's architecturally significant structures.

[22][23] At the time of the 1930 United States census, Graver was living at the Longwood Drive home with his wife Anna, son Herbert, and a servant.