Here's the parody that Darin McGrew mentioned above, copied from the web site he linked to:

SHAKE HANDS WITH YOUR UNCLE MAX
(Words, Allan Sherman. Tune, "Dear Old Donegal")

I sell a line of plastics
And I travel on the road,
And I have a case of samples
Which, believe me, is a load.

Every night a strange café,
A strange hotel, and then
Early in the morning
I am on the road again.

When the season's over
And my lonesome journey ends,
That's the only time I see
My family and my friends.

I drive up Ocean Parkway
And, before I stop the car,
My ma leans out the window
And she hollers, "Here we are!"

"Shake hands with your Uncle Max, my boy,
And here is your sister Shirl,
And here is your cousin Isabel--
That's Irving's oldest girl.

"And you remember the Tishman twins,
Gerald and Jerome.
We all came out to greet you
And to wish you welcome home.

"Meet...
Merowitz, Berowitz, Handelman, Schandelman,
Sperber and Gerber and Steiner and Stone,
Boskowitz, Lubowitz, Aaronson, Baronson,
Kleinman and Feinman and Freidman and Cohen.

"Smallowitz, Wallowitz, Tidelbaum, Mandelbaum,
Levin, Levinsky, Levine and Levi,
Brumburger, Schlumburger, Minkus and Pinkus,
And Stein with an "e-i" and Styne with a "y."

"Shake hands with your Uncle Sol, mein boy,
And here is your brother Sid,
And here is your cousin Yetta
Who expects another kid.

"Whenever you're on the road, my boy,
Wherever you may roam,
We'll all be here when you come back
To wish you welcome home."