This article in Life, from Feb. 1, 1963, called "Just a Home Where Squares Get Lost" is about Bill Baird (who professionally spelled his name "Bil") and Cora Baird. The Bairds were probably the world's most famous puppeteers until Jim Henson came along. It says:

[Bill] also wrote, but never bothered to copyright, the college classic, Her Mother Never Told Her (with that part about "Let her sleep under the bar").