You can bet that she is checking you out if she is reading any of the aforementioned books, magazines, or piles of dating propaganda. Ask to see the final decree. Never, ever, date a woman on your job. Don't give up your work number unless she is willing to do the same. If you do exchange numbers on the job, remember to not abuse the privilege and ask her to do the same.
Office gossip is still office gossip, regardless of who is making the calls.
It cuts down on you carrying emotional baggage. You and she need your living space. Feedback from a friend can spare you a lot of future heartache. Yes, be on your best behavior, because who you are is what brought you two together in the first place. If you go to church, temple, or mosque, tell her so up front and invite her to join you.