Fallon worked in the 1950s as an accompanist to Mary Lou Williams, Sarah Vaughan, and Lena Horne, and also served as a sideman in the ensembles of Humphrey Lyttelton, Kenny Baker, and Ralph Sharon.
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Soon after playing with Reinhardt, he played in a Count Basie ensemble which also included Malcolm Mitchell and Tony Crombie; he played with both of them after leaving Basie, working together with Hoagy Carmichael and Maxine Sullivan and touring in Sweden together with Reinhardt and Stéphane Grappelli.
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