One nit-pick: The Peter Jackson film shows Saruman stabbed by Wormtongue before falling to his death from the top of Orthanc.
Furthermore, I believe it is only included in the extended edition of The Two Towers (but I could be wrong on that point).
Furthermore, I believe it is only included in the extended edition of The Two Towers (but I could be wrong on that point).
And that vision Sam sees in Galardiela's mirror is actually true - in the book, Shire WAS burning in the end, because Saruman almost destroyed it.
You're right if you s/The Two Towers/Return of the King/