Hi, Charcloth - I looked it up on the www.kididdles.com site - click. They list the songwriter as "unknown." They're pretty nervous about posting copyrighted songs, so if they post it as "unknown," it quite possibly is. The book called Wee Sing Silly Songs also has it unattributed.
I always thought it was something my obnoxious little sister made up in Girl Scout camp....
-Joe Offer-