Troup was born in Harrisburg, Pennsylvania. He went on to graduate Phi Beta Kappa from the Wharton School at the University of Pennsylvania with a degree in economics.He was a member of the Mask and Wig Club, a famous collegiate all male comedy sketch group.
Sammy Kaye and His Orchestra recorded "Daddy", which was number one for 8 weeks on the Billboard Best Seller chart and the number five record of 1941; other artists also recorded it in 1941, including Glenn Miller and His Orchestra, The Andrews Sisters, Bing Crosby and Kay Kyser.
In 1941 he enlisted in the United States Marine Corps. He was assigned as one of two dozen white officers to direct recruit training at Montford Point, a recruit depot for the first African-American Marines.
He had many song, TV, and movie credits throughout his life.
LCA will be performing an a cappella arrangement of his song "Their Hearts Were Full of Spring."