Here is the full version I know, at least what I can remember.
NO BALLS AT ALL
Come you young maidens, give ear to my tale
This short little story will make you turn pale
It's about a young lady, so pretty and small
Who married a man who had no balls at all.
What ! No balls at all, no balls at all
Yes he had no balls at all.
How well she remembered the night they were wed
She rolled back covers and crept into bed
She felt for his penis and found it was small
She felt for his balls, he had no balls at all.
Oh Mother, dear Mother, I wish I was dead
And buried down deep with my poor maidenhead
I felt for his penis and found it was small
But alas my poor husband has no balls at all.
Oh daughter, dear daughter, don't worry my dear
I had the same trouble with your father I fear
But there's many a man who will come to the call
Of the wife of the man who has no balls at all.
The pretty young lady took her mothers advice
And found the whole thing exceedingly nice
An eleven pound baby was born in the fall
To the wife of the man who had no balls at all.