When she asks for my address, I'm going to give her a fake one.
Why would you lie to her about your address?
I think she's stalking me and I don't want her to know where I live.
You don't need to give your address to anyone who you don't feel comfortable giving it. That's very private information, and if you don't want to tell it to someone, you don't have to. If you genuinely think she is stalking you, you should consider contacting the police.
Well if she is stalking me, she already has my address...
It sounds like you are very concerned about this situation, and that's understandable since stalking is a serious issue. Contacting the police would be a good next step if you actually believe she is stalking you. They can take measures to prevent her from getting within a certain distance of you.