He remained in Washington to practice law there.[4] In 1920, Marquette joined the office of the solicitor in the Internal Revenue Bureau, where he was a legal adviser until President Calvin Coolidge appointed him to the Board of Tax Appeals in 1924.[3] He was one of the original twelve members appointed to the Board of Tax Appeals, and one of a group of seven appointed "from the public".[6]
In 1935, Marquette travelled to California to hear a case regarding the estate of railroad builder Henry E. Huntington. On the train ride returning to Washington, D.C., Marquette contracted pneumonia, dying at Sibley Memorial Hospital at the age of 56.[3]