There's a video for it here, but I for the life of me can barely make heads or tales of what he's saying. Here's my best stab at it.

Bring up my ?marbles?, get back to ?chores?
But don't knock that ?middle?, I'm gonna tell you so

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

Well I just got back from ol' New York, where I never has been before
Ain't got me's much money as had when I left, but I know a whole lot more

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

I thought when I left home I's a man of some renown
But in ol' New York I was on the boat just ?roo? from a one-horse town

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

And gee, wizz what they done for me,
Lingers in my mem'ry from the early mornin' 'til the sun goes down
Got done pulled all around, cut more cables than a circus clown
Just a durned ol' ?roo? from a-one horse down

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

I'd writ some letters on the train that I wanted to mail back home
Tell the folks just what I'd seed and just how far I'd come

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

I saw a box all painted red and I dropped my letters in
Fire engines come from all around and a bell begin to ring

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

And gee, wizz what they done for me, squirted water all over me
I grabbed a feller and I said to him,
"Pull me out, for I can't swim"
The crowd all shouted "Let 'im drown
's just a durned old fool from a one-horse town"

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom

Walk, Tom Wilson, walk ?out the noon?
Sweep that kitchen with a brand new broom