Only three presidents attended either West Point or the Naval Academy. U.S. Grant, D. D. Eisenhower (both went to West Point) & Jimmy Carter (U. S. Naval Academy). Football wasn't around when Grant went to West Point. Eisenhower did play football at West Point in the linbackers position (he once assisted on a tackle of Jim Thorpe). I could find no referance of Jimmy Carter playing football at the Academy. So a good guess would be D. D. (Ike) Eisenhower.
The cast of President Roosevelt Entering Grounds at Army-Navy Football Game - 1901 includes: Theodore Roosevelt as himself
November. The first Army-Navy football game was played November 29, 1890 at West Point with Navy winning 24-0.
The first Army-Navy game was played in 1890 and won by Navy 24-0.
navy won the 1979 army navy football game 31-7
Army 27 to 7
Navy ; 38-3
Navy ; 26-14
Navy ; 42-23
Navy ; 34-6
Navy ; 58-12
Navy ; 17-7
Army won the game 23-11.