There are many entries in the Roud Index, but most of them seem very much the same. Very few are attributed to any particular songwriter. Here's the version from Page 287 of The Universal Songster, or Museum of Mirth (1825), available for download from many sources but containing only lyrics, not melodies.

HOT CODLINS

A little old woman her living she got
By selling hot codlins, hot! hot! hot!
And this little old woman who codlins sold,
Though her codlins were hot, thought she herself cold;
So to keep herself warm, she thought it no sin,
To fetch for herself a quartern of — Ri tol iddy
Iddy, iddy, iddy, Ri tol iddy, iddy, ri tol lay.

This little old woman set off at a trot,
To fetch herself a quartern of hot! hot! hot!
She swallowed one glass, and, it was so nice,
She tipt off another in a trice;
The glass she filled till the bottle shrunk,
And this little old woman they say, she got — RI tol iddy
Iddy, iddy, iddy, Ri tol iddy, iddy, ri tol lay.

This little old woman, while muzzy she got,
Some boys stole her codlins hot! hot! hot!
Powder under her pan put, and in it round stones;
Says the little old woman, 'These apples have bones'
The powder the pan in her face did send,
Which sent the old woman on her latter — RI tol iddy
Iddy, iddy, iddy, Ri tol iddy, iddy, ri tol lay.

The little old woman then up she got,
All in a fury, hot! hot! hot!
Says she, 'Such boys, sure, never were known
They never will let an old woman alone.'
Now here is a moral, round let it buz
If you mean to sell codlins, never get — RI tol iddy
Iddy, iddy, iddy, Ri tol iddy, iddy, ri tol lay.