All the tunes for the old London broadsides are right here on Mudcat, in the ABCs on Bruce Olson's archived site.

You can convert them using the resources on http://abcnotation.com . Here is an example search for one of the most famous of all London broadside tunes:

http://abcnotation.com/searchTunes?q=packington&f=c&o=a&s=0

That search has found three different versions of Packington's Pound, all from Bruce Olson's work. One the one screen you get staff notation and playable MIDIs for all three. It's a very elegant user interface.