It isn't clear from your original post. Are you looking for traditional local tunes that would make good morris / molly tunes or are you looking for ones that were used for molly?

While it is known that molly took place in parishes close to the Cambridge border but I am not aware of any tunes being collected.

There are a few tunes from various dancing masters with local names such as Epping Forest or Romford Assembley but not necessarily with any real local connection. The, now disbanded, dance side Seven Straw Braid did research a number of these.