Here's a version thats a bit different.

TUTHEREE OO, AND TAN.
(C. Dibdin)

In Dundee there lived a carl, fu' blithe and merry;
In Dundee there lived a bonny carl;
A scolding spousey was his lot.
Wha mugg'd hersel' and often got
Tutheree oo, and tan.

She led him a life that fu' wae and weary,
Till the carl he vowed himsel' he'd hang;
And would have don't, but thought him first,
Of ends, a rope's end was the worst
Tutheree oo, and tan.

This carl's wife she did na' play her hubby fairly,
Else was Andrew Mackintosh belied,
She made her husband's heart ache through,
And then she made his head ache too.
Tutheree oo, and tan.

Wife, said he, of life I'ze tired, and will gang drown me,
She replied, gude wives ne'er contradict;
But should my spirit come, said he;
O, I'm quite spirit-proof, said she.
Tutheree oo, and tan.

At the pond, said he, if my poor heart should fail me,
Will you run behind, and push me in?
Says she a hard part 'tis to play,
But 'tis my duty to obey!
Tutheree oo, and tan.

By a pond he stood that was deep full a fathom,
On a hill stood she - the word he gave;
Down a galoping she came, when he
Just stepped aside, and in popp'd she.
Tutheree oo, and tan.

This is in 'The Universal Songster', I, 416, (1825) 1828, about the same time as "The Old Woman of Slapsadam" appeared. Another version is "Lawyer Brief; or, a new way of getting rid of a scolding wife", in 'The Universal Songster', II, 335, 1826. Song is Laws Q2,and see the reworked version "Johnny Sands", Laws Q3. Laws Q2 is the title song of Frank Purslow's 'Marrow Bones', 1965.