searching for a poem....

[Gayalondiel]

i know some others have heard the bbc radio adaptation of LOTR, so hopefully someone here can help me.

At the end of the final episode (13), as they ride to the havens, a passage appeared that was not in the book. It was something about frodo feeling he was drifting in a dream, and he heard the voice of Bilbo chanting - his Last Song. I've looked for this and can't find it, can anyone tell me if this is genuine Tolkien? I can only remember the first two lines though [img]smilies/rolleyes.gif[/img]

Day is ended, Dim my eyes
But journey long before me lies.

any help? [img]smilies/smile.gif[/img]