Here's the oldest version I can find:

This text is quoted in the novel Dodsworth by Sinclair Lewis (New York: P.F. Collier, ©1929):

My name is Yon Yonson,
I come from Visconsin,
I vork on a lumberyard dere.
Ven I go down de street,
All de people I meet,
Dey saaaaaaay,
"Vot's your name?"
And I sa-aaaaay:
My name is Yon Yonson,
I come from Visconsin—