On a scholarship at age 16, Morrow studied trombone with Ernest Horatio Clarke (1865–1947) at Juilliard from October to December 1936.

[1] During the next year he began playing trombone with Sharkey Bonano's Sharks of Rhythm, an Eddie Condon group.

Shortly thereafter, he joined the U.S. Navy, during which he recorded with Billy Butterfield, leading a ten-piece band with three trombones, accompanying Red McKenzie singing four arrangements, including "Sweet Lorraine" and "It's the Talk of the Town".

Morrow led the Tommy Dorsey Orchestra from 1977 through September 24, 2010, when he appeared with the band for the final time.

[5][6] With Count Basie With the Free Design With Jackie Gleason With Urbie Green With Enoch Light With Flip Phillips With Lee Wiley With others