Hello,
Well there is this!
http://books.google.com/books?id=4Q0-lkGn4wsC&pg=PA111&lpg=PA111&dq=%22green+leaves+grow%22+song&source=web&ots=XqE8XpUlFs&sig=G-aKPaW1SaxnOuXLSTJ2WMafVPI
But I'm not sure it is the song you are looking for!
Best wishes,
Peter