This is the oldest version I can find that has the "Kitty alone" refrain.

From Gammer Gurton's Garland by Joseph Ritson (London: R. Triphook, 1810), page 1:


THE FROG AND MOUSE.

There was a frog liv'd in a well,
    Kitty alone, Kitty alone,
There was a frog liv'd in a well,
    Kitty alone and I.
There was a frog liv'd in a well,
And a farce* mouse in a mill,
    Cock me cary, Kitty alone,
    Kitty alone and I.

This frog he would a wooing ride,
    Kitty alone, &c.
This frog he would a wooing ride,
And on a snail he got astride.
    Cock me cary, &c.

He rode till he came to my Lady Mouse hall
    Kitty alone, &c.
He rode till he came to my Lady Mouse hall
And there he did both knock and call,
    Cock me cary, &c.

Quoth he, Miss Mouse, I'm come to thee,
    Kitty alone, &c.
Quoth he, Miss Mouse, I'm come to thee,
To see if thou can fancy me,
    Cock me cary, &c.

Quoth she, answer I'll give you none,
    Kitty alone, &c.
Quoth she, answer I'll give you none,
Until my uncle Rat come home,
    Cock me cary, &c.

And when her uncle Rat came home,
    Kitty alone, &c.
And when he/ uncle Rat came home,
Who's been here since I've been gone?
    Cock me cary, &c.

Sir, there's been a worthy gentleman,
    Kitty alone, &c.
Sir, there's been a worthy gentleman,
That's been here since you've been gone,
    Cock me cary, &c.

This duck she swallow'd him up with a pluck,
    Kitty alone, Kitty alone,
This duck she swallow'd him up with a pluck,
So there's an end of my history book,
    Cock me cary, Kitty alone,
    Kitty alone and I.

* Merry.