My version has an slightly different verses -- the first two verses are almost the same as the ones John posted, but the chorus starts "Shake hands with your uncle Mike me boy, and shake hands with your sister Kate". Then the verse that starts with "They'll give the party when I go home".

The name roster changes a bit at the end. It's "Kelly, O'Kelly, Shapiro, McGuin

Final stanza:
Then I'll shake the hand of me Uncle Mike, shake hands with me sister Kate,
Oh, I'll hug and squeeze as much as I please the girl by the garden gate.
I'll invite all the neighbors to me wedding, great and small,
And I'll live content and pay no rent in dear old Donegal!

From: Ireland's Greatest Hits (CD) sung by Dennis Day.