In the "Luck" episode Our Host recommended that his listeners "go Google" Kay, and check out the Scopitone of her singing "Wheel of Fortune" on YouTube.
And here's the link (the poster, for whatever reasons, disabled embedding).
UPDATE: Some kind soul (who is selling Scopitones on DVD) posted a better-quality version that can be embedded.
What's a Scopitone? The word can mean either the ""Film Jukebox" invented in France in the early 1960's (from surplus World War II airplane parts!) and/or the films themselves.
You can learn more about them and watch some samples here.
One of my favorite Scopitones is one of Nancy Sinatra doing "These Boots..." which I've also posted. If you can't find it, use the Video label to your left.