Not a Limerick but here goes anyway lol.

Johnny went down to cut some wood hurah, hurah
Johnny went down to cut some wood hurah, hurah
The wind blew
The axe flew,
Johnny came home nob in two hurah, hurah, hurah.
Johnny went down to milk a cow hurah, hurah
Johnny went down to milk a cow hurah,
He pulled the tail instead of the tit,
And all he got was a bucket of shit hurah ,hurah hurah!

One of my favs,
What can I say I'm easily amused lol.