I never noticed that before, the words are also on the bonus website material and are opposite a picture of Arwen in the booklet; however, being in Old English they should apply to Eowyn and should be sung in the background when she is standing outside the Meduseld looking into the distance (waiting for her prince to come).
I' m listening to the CD now in case they stuck the vocal in in one of the other Rohirrim themes. It won't be sung in Modern English is my guess, and then again, maybe they cut it from both movies, but it had already been sent to the printers.
I'll come back and edit this, if I hear it on my CD (the internet special edition in the leatherette folder wearing the bellyband.)
'Share and enjoy'