It doesn't happen till 5:45 of this 9-minute medley of the best songs from 1962 albums, and it's only a snippet, but it's worth waiting for. The Sandy Stewart does a brief Judy Garland imitation.
She does the man-hungry arrangement of "I've Got a Lot of Livin' to Do" from her Las Vegas album. The she does "That Old Feeling"--she's in great voice.