Beatrice followed him to the elevator and stepped inside, before he pulled the lever, starting the elevator's ascent. Beatrice did find the elevator's presence in an old castle to be strange indeed. However, that was menial compared to the questions she had in regards to the Brotherhood, their actions, and the man who was helping her right now. She commented, trying to make small talk, since the elevator ride seemed to be taking a long time "You still haven't answered my question from earlier...I'm Beatrice," 
She didn't want to give her last name, just in case he knew her friend Utterson, or her ex-fiance, Edmund Carew.