Welcome to the Mudcat Cafe, Gavin! As Jon says, the title list you're looking for is available on the Mudcat home page. Better yet, you can search the database and find songs with any distinctive word or phrase you might remember. Search boxes are available on many of the pages on this site - it's on the upper-right corner of this page. Searching is easy. If you enter green alligators, you will get all the songs that include both the words "green" and alligators," at any place in the songs. If you enter [green alligators] (in square brackets), you will get the one and only song in the database that has that exact phrase.
For pop, country, and other songs not usually considered to be "folk," you might have better luck finding the song you want in one of the many lyrics sites listed on our links page, which can be reached from the menu on the top of our forum home page. Hope that helps.
-Joe Offer-