This optional scene underwent more than just cosmetic augmentation between the Original and Remake. This scene is triggered if the player - Chris Redfield - does not save Rebecca from the Hunter in time.
Chris hears a scream while searching Spencer's office, exclaiming "Rebecca! Is she upstairs?" If the player investigates the study on the second floor, Rebecca is found, backed against the door with a broken latch by a Hunter. Chris may or may not get to the room in time, but even if he does, the Hunter can still kill Rebecca if the player does not act quickly enough. Her throat is slit and she dies. Chris calls out to her. After the player dispatches the Hunter, Chris falls to his knees in despair next to her corpse and mumbles "No..."