In the Nov. 16, 1975 Nostalgia Place broadcast (posted on January 31, 2010), Bud mentions the Osmonds singing "I Dig Rock and Roll Music" with Kate Smith.
Believe it or not, the video clip is posted on YouTube.
The big question is "why?" ;)
(Unfortunately, the clip I had planned to use was removed, but this is from the same medley just after "I Dig Rock and Roll Music."