Sigh! Looks to me like we've talking about the same family of songs. "The Jolly Tinker" begins (WARNING TO THE FAINT OF HEART):

He mounted up his charger
And away he did ride
With his penis over his shoulder,
His bullocks by his side. (CHO)

With his bloody great kidney whipper,
His bloody great kidney wee,
And forty yards of foreskin
Hanging down below his knee!

A duchss sat by her window,
In a tower tall,
She saw the highland tinker
As he pissed against the wall.(CHO)

The Duchess wrote a letter,
And in it she did say,
I'd rather be fXXXed by a tinker
Than my husband any day.(CHO)

The tinker got the letter,
He went to ply his trade,
He double bored the duchess
And triple bored her maid. (CHO)

He fXXXed them in the kitchen,
He fXXXed them in the hall;
Then he buggered the butler,
The diriest trick of all. (CHO)

He fXXXed them in the parlor,
Now what do you think of that?
Then he went into the stable
And he fXXXed the stable cat.(CHO)

Alas, old Dennis has gone to that land beyond, but wherever that is I'd like to think he's still keeping folks up all night with his songs.