The broadsides in Simpson are mostly not Child ballads - a huge number of them are about dramatic events in London's history. Child ballads are not at all what you want.

The tunes from Simpson are in ABC in Bruce Olson's site (archived here, look at the dropdown). Unfortunately Bruce used an archaic ABC program so you'll have to do a lot of editing to make them usable, probably beyond what somebody who can't read music could manage. But it's not that hard to learn - a couple of hours a day for about a month for most people.