"The Grizzly Bear" (posted in prison adaptation above (not the one that came to my mind and based on the "Preacher and the Bear") appeared in sheet music with words by Irving Berlin and music by George Botsford, 1910, "The Dance of the Grizzly Bear," based on the San Francisco dance and made popular by Maude Raymond. Levy Sheet Music: http://levysheetmusic.mse.jhu.edu/cgi-bin/display.pl?record=077.089.000&pages=5"> Grizzly Bear

I doubt that the two are related in any way.

(All I do is argue?)