If the tune beginning around the :23 mark sounds vaguely familiar, it might be that you are recalling it from childhood. Here's Shirley Temple singing "Polly Wolly Doodle":
According to Wikipedia, the song appeared first in 1880 in a Harvard student songbook. The tune appears to be in the public domain, simply listed by the Public Domain Information Project as "traditional."
I think all would agree that this use of the tune is anything but traditional.