When Maynard moved from his native Canada to the United States in the late 1940s, he played with bands led by Boyd Raeburn, Jimmy Dorsey, and Charlie Barnet before joining the Stan Kenton band in 1950. Here's a link to a Jimmy Dorsey recording featuring a 19-year-old Maynard:
http://www.amazon.com/Golden-Era-Jimmy-Dorsey-Orchestra/dp/B00005AKC6
Ironically, several years prior to that, Maynard won a talent contest in Old Orchard Beach, Maine, when his family vacationed there. The judge of the contest? Jimmy Dorsey!