I think it was "Gilly-Gilly Ossenfeffer Katzenellen Bogen By The Sea."


Then there was "The Rock And Roll Waltz" -- a song by Kaye Starr that actually was the #1 pop hit of 1954 or thereabouts.

Teresa Brewer also had a song called "Skinnie Minnie Fish Tail" about a mermaid (in the mid 1950s).

And The Crew Cuts had one called "The Barking Dog" (where the guy can't get a goodnight kiss from his girlfriend because her dog wakes up the house and neighbors when he takes her home, so he finally brings along a canine girlfriend for the dog and gets the dog to shut up).