If this is a parody, I don't know what the original is.

Lyrics transcribed from the sound file at http://www.geocities.com/u2page6/

SHE WAS BITTEN ON THE UDDER BY AN ADDER
(As sung by Homer & Jethro)

Now here's a song about a cow so round, so firm, so trim.
The cow wouldn't give no milk at all, so we got mad at him.
One day the weather started a-gittin' hotter by the hour.
The old cow laid down on 'er back an' give herself a shower.

CHORUS: Oh, she never died so suddenly before,
And I bet she'll never do it any more,
And I know I never will be any sadder.
She was a-bitten on the udder by an adder.

Our little cow was nice an' fat. Her hair was soft as silk.
She slipped and fell right through a bridge an' durn near strained her milk.
We lifted her as if she didn't weigh a single ounce,
And then we pushed her off the bridge to see the Jersey Bounce. CHORUS

A little bull walked all the way from here to Ioway,
Which goes to prove a little bull will go a long, long way.
Then pappy hitched 'im to a plow an' said, "Now here's my chance.
To show this boy there's some'n' in this world besides romance."

Now he's with ol' Bossy over there, I guess,
Where the cows are all contented, more or less.
And he is glad but Bossy is much gladder.
She was a-bitten on the udder by an adder.

[Recorded by Homer & Jethro on "Songs My Mother Never Sang," 1961; "Live at Vanderbilt University," 1968; and "America's Song Butchers: The Weird World of Homer & Jethro," 1997.]