A little search and I found what I wanted (Thanks, InterWeb!). The words are based on songs (untranslated but done after the fact) in Tolkien's books.
The first version is a version with the lyrics, which I enjoyed although I found it a little visually distracting. The second version is just the song itself. Run time is about 3 minutes - a given, of course, I do not own the copyrights and presented for entertainment value only and so forth.
In the movie, Sam says to Frodo "I don't know why, but it makes me sad."
It makes me sad too, Sam, because seeing the beautiful and lovely pass from the world is always a terrible thing.