Here is the Homer and Jethro version transcribed from the Record Lady site. Their version is actually a combination of the Indiana Home and Let the Rest of the World Go By parodies, with some lyric changes. There was one line I was not sure about and it is in italics.

TATTOOED LADY
Homer & Jethro version

Now once I married a tattooed lady
It was on a sunny day
And tattooed on her body
Was the map of the USA
Now every night when she would go to sleep
I'd flip them kivvers back and take a peek

Upon her neck was Louisiana
On her chest was old Tennessee
Up on her back was ole Hackensack
In the state of you joined me
And just below was old Kentucky
In those hills I love to roam
But when I saw the moonlight shining on the Wabash
Then I recognized my Indiana home

On her back was Brazil,
On her chest was Bunker Hill,
And jist a bit below
Was dear old Mexico.
Upon her knee was Tennessee
That is where I long to be.

Around her waist was Greece
And down the road a piece
I saw the West Virginny sky
Just then I saw my wife,
And to save future strife,
I let the rest of the world go by!