Tolkein Songs to current melodies

Well, I know that there is a tune to one of the songs at least, but you have to have quite good hearing to pick it out.<P>In the animated movie (Bakshi version) when the company arrives at the Prancing Pony, Frodo sings the same song he does in the book. I think you hear most of the first verse, but after that it cuts to outside. Anyone who knows music should be able to figure the last part out though.<P>Sorry for being kinda OT there...