Unfortunately not all broadsides were registered for some reason. I don't know if registration would be required if the ballad had already been published.

It would be worth checking through 'Wit Restor'd' to see if any of the other pieces were of anything like this style. The couplet with refrains doesn't appear to be that common even at this early stage. Off hand the only other one I can think of is 'Duke's Daughter's Cruelty (Cruel Mother). Robin Hood ballads of course.