Years ago a friend had told me that she had heard a Victor Borge routine like this. I have been looking for it off an on for forty years, and had concluded that this was just one of those things that Annie had made up because it sounded fun. She has passed many invented stories off as true, and I have repeated them, further misleading the public.
Yet this seems to be exactly what she was talking about. After New York I may shop around for a longer routine of Sid Ceasar doing this.