From Lubbock, Texas, Butch is one third of the super-group The Flatlanders with fellow Lubbock natives Joe Ely and Jimmie Dale Gilmore.

Hancock has spent most of his career as a solo artist, and made many recordings. His song 'If You Were a Bluebird' has been covered by many artists, the most well-known version being by Emmylou Harris.

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