The Five Harmaniacs were a jug band that was responsible for the tune "Coney Island Washboard" which was recorded by dozens of bands and sung by hundreds of barbershop quartets. Curiously, the Five Harmaniacs recording didn't use a vocalist.... [They used a kazoo instead.]
At that web page, you can play the original recording CONEY ISLAND WASHBOARD made by the Five Harmanaics on 17-Sep-1926. No words, but at least you can hear what both the verse and the chorus sound like.
The Five Harmaniacs consisted of: Jerry Adams (real name: Harold Whitacre) Wayne Durand Walter Howard Ned Nestor Clyde Shugart
So those (minus Walter Howard) must be the authors of the tune.