It's a modern thing, not traditional at all, based loosely on Robert Graves' imaginative "reconstruction" (White Goddess, 1961, pp. 401-2) of the snatch quoted at Isobel Gowdie's trial for witchcraft in 1662. The single authentic verse he quotes is as follows:

I shall go into a hare
With sorrow and sighing and mickle care
And I shall go in the Devil's name
Aye, till I come home again.