The Magic Penny quoted by Cathy Brady (while not the one you're looking for), is on "I've Got A Song!" by Sandy and Caroline Paton on Folkways (I think).Don't know the other song, but it seems like a derivative of "Taps."
As far as other camp, outdoor, or singalong songs -- I know hundreds. Are you looking for any particular songs? Here's a few popular camp songs:
Father Abraham (had seven sons, and seven sons had...) Dog Named Blue I've Got Sixpence Titanic On Top Of Spaghetti/Old Smokey Barges I Don't Want No More Of Camp (Army) Life Little Brown Jug Mountain Dew Turkey In the Straw