seems to me like you just need to get to the point with her. maybe if you time it right, you can ask her to lunch? if you're able to take a longer lunch from work, when one of the times you're in the elevator with her and strike up the usual conversation, say something like, "hey, i was thinking of going to lunch at (insert name of place here) you wanna join me?" maybe include a couple other people that you and her mutually know so that it's not a date, but a "getting to know her better" period. then if you get lunch with her, maybe ask her out afterwards?
i dunno, just a thought.
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