Over his career, he played for the Class-A Hartford Senators in the minor leagues and the Philadelphia Athletics in the majors.
Allen has a major league career batting average of .136 with three hits in 22 at-bats.
With the Senators, Allen batted .271 with 61 hits, seven doubles, 11 triples and two home runs in 63 games played.
On defense, Allen played all 63 of hit games in the outfield, committing two errors in 145 total chances.
Allen made his debut in Major League Baseball on August 20, 1919, as a member of the Philadelphia Athletics.
During his final season, 1924, Elliott scored one rushing touchdown and made one field goal.