You can hear this parody at WFMU'S Beware of the Blog. It's from the album "Homer and Jethro Fracture Frank Loesser":

ONCE IN LOVE WITH AMY [parody]
As sung by Homer & Jethro

Once in love with Amy,
Always in love with Amy.
Ever and ever, aggravated with her,
Keeps you in a dither all day.

Once old Amy kissed me,
I wished that she had missed me.
She made me quiver like a chunk o' liver
When I fin'lly come up for air.

Amy looks so daring and inviting
When she's wearing slacks.
From the rear, it looks just like two pigs a-fighting
In a gunny sack.

Once you're hooked with Amy,
Your goose is cooked with Amy.
Once you have got 'er, get yourself a blotter.
You'll be in hot water for life.
You should have got yourself another wife.

She waited hopin' I would pop the question
Till years had elapsed.
She set and waited for her ship to come in
Till her pier collapsed.

Once in love with Amy,
Always in love with Amy.
Now we're a twosome, and it's really gruesome.
When we kiss, it tickles my chin.
I wish she'd shave her whiskers off ag'in.