In the eighties, Davenport worked with both traditional units as The Alliance Hall Dixieland Band and gospel groups like The Zion Harmonizers and Aline White, and backed the vocalists Frank Sinatra and Sammy Davis, Jr. However, he routinely went on impromptu tours in Asia and Europe, and once played expressly for the king Olav V of Norway.
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During this era, Kavana and members of the band toured and recorded with many legendary American acts, including Big Jay McNeely, Clarence "Frogman" Henry, Willie Egan, Dr. John, Doug Sahm, Augie Meyers and Flaco Jiminez, Wallace Davenport, Gatemouth Brown, Memphis Slim, Champion Jack Dupree, and Slim Gaillard.