Thanks, Joe, you've solved a mystery for me.We sang that song in elementary school in the 40s and 50s. Had forgotten the song, but over the years I've teased children about having food on their chin chowsers, never thinking about the origin of the phrase. And, now, there tis.
And, "bread basket" was an integral part of our language: "I'll punch you in the bread basket." Mustaches are (or were) commonly called soup strainers.
Reckon which came first, the song or the descriptions?