A version of Davy Crockett (DT) by Sarah Ogan Gunning has a different ending in this version from Randolph, Ozark Folksongs.
Both are based on "Pompey Smash," an old minstrel tune: Lloyd's Ethiopian Song Book (London, 1847) and The Negro Singers Own Book, Philadelphia, 1846.

Lyr. Add: DAVY CROCKETT 2

Now, I'll tell you what I think of old Davy Crockett,
He's half horse, half coon, and half sky-rocket.
I met him one day a goin' out a-coonin'.
I ask him where he's goin' an' he said he's goin' huntin'.
Oh I ask him where's his gun, an' he said he had none.
Says I, Colonel Davy, how you goin' get 'em down?

Says he, Pompey Smash, just follow your Uncle Davy,
An' he'll soon show you how to grin a coon crazy.
We hadn't gone far till Davy thought he seen a squirrel
A-settin' on a pine-knot eatin' sheep sorrel.
Then I begin to laugh an' he began to grin,
Says he, Pompey Smash, let me brace against your heel!

So I stuffed out my heel an' I braced up the sinner,
An' Davy he begin to grin pretty hard for his dinner,
But the critter didn't move, an' he didn't seem to mind it,
But just kept a-eatin', an' didn't look behind it.
Now don't laugh, you big black calf,
For if you do, I'll bite you in half!

We fought half a day an' then agreed to stop it,
For I was badly whipped an' so was Davy Crockett,
When we looked for our heads, Gosh, we found 'em both a-missin',
For he bit off my head an' I'd swallowed his'n!

Text collected by G. E. Hastings, Fayetteville, AK, before 1938. From Vance Randolph, Ozark Folksongs, 1980 reprint, vol. 3, p. 167.