Here's a piece of a parody called when Irish Guys Are Smilin'.

When Irish guys are smilin',
sure an' they've had a drink or two,
of that good ol' Irish whiskey
and a bowl of Irish stew.

When Irish guys are smilin',
they all love to sing a song,
so come on everybody,
lift a glass and sing along.

Now I don't know if there is any more to this one but it's a start. Feel free to add, subtract, twist and torture it to meet your own specs.