On her 1965 Woman Blue album, Judy Roderick recorded a song she called "Young Girl's Dream." It's basically the same song as "Willie Jean."
https://www.youtube.com/watch?v=ClTM8Ljr_js

Here's my transcription:

YOUNG GIRL'S DREAM
(as recorded by Judy Roderick)
Songwriter: ? (Based on Axton's Willie Jean)

Sometimes I think about all the folks back home
About a twelve mile road I used to roam
Sometimes I think about a young girl's dream
Would she ever get down to New Orleans?

Sometimes I think about all the folks back there
Do they still have the same old county fair?
Sometimes I think about a young girl's dream
Would she ever get down to New Orleans?

Watchin' a steamboats from a river bank,
Drinkin' hard water from a railroad loadin' tank;
Sometimes I think about the not so long ago,
Back when I was much too young to know.

People told me if I didn't change,
I would bring trouble to my family's name;
But it ain't every gal that's got a word for shame,
Calmly climb the stairway and play their little game.

Sometimes I think about a young girl's dream
Would she ever get down to New Orleans?


Built on the same song, but quite different. I'm guessing it's correct that Hoyt Axton wrote the original and titled it "Willie Jean." Axton usually did original stuff.