Your question intrigued me, Muppetry. So I decided to do a little test. I went to Google Advanced search and entered this in the top box

The water is wide chords

Then under "containing the exact words" I entered

The water is wide.

This search yielded pages with chords for that famous song.

I think you can do this for songs you are interested in. It is likely that one of the song searches will lead you to a site that has quite a few songs that are right for you.