OK, here are the lyrics and tune, as prepared by the ad hoc committee of MMario, Becky in Tucson, and Joe Offer. The work of a committee is guaranteed to satisfy nobody, but here it is, nonetheless:

Why doth not my goose
Sing as well as thy goose
When I paid for my goose
Twice as much as thine

And the reason I have titled it "Why Doth" instead of "Why Doth Not" is that's the way I learned it. Besides, who ever heard a goose sing? Sounds more like a "squawk" to me. Even "honk" is too dignified a word to describe the sound.
But I saw lots of Canada geese in Alaska this week, and they certainly were pretty.
-Joe Offer-

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