Read the article "Shimrod" recommends, and use David Atkinson's bibliography included in the same book to learn more.

The two societies had a lot of members in common, but covered different fields. There was no cause for "animosity" until they amalgamated. For more on that, see the above and David Atkinson's  English Folk Song Bibliography.

Useful information can also be found in the Folk Music Journal.

As Ed says, how much you find out depends on whether you are genuinely interested or not. We don't have time to do the work for you.