If you say something like, "Oh, I don't like to talk about that," she'll be like, "Why? Why? Why?" like a toddler. Then, she'll make an outrageous statement, I guess in the hopes of provoking you into correcting her and giving her the info she wants. Like, she'll want to know how much money your house cost, and if you refuse to tell her, she'll be like, "I bet it's a lot more than you could afford and you had to go really into debt to buy it."
I once had a coworker who was like this when I didn't want to give her particular information about myself. She then jumped to an (incorrect) assumption similar to the above, and I simply said something like, "Okay." You could just see her sitting there glowering because I wouldn't rise to her bait (she wanted the info about me in order to make generalizations on my personality based on the info she needed -- generalizations I think are coincidental and, otherwise, a bunch of hooey so I told her I wasn't telling her because I wasn't about to let her pigeonhole me like she was doing with the other employees).
The thing with my co-worker Grace (described above) is that if you say "Okay, sure," to her outrageous assumption, she'll be like, "Oh, so it's true, you did go into debt to buy your house!" and then dance off to gossip with it about everyone. I will hear back from people, "Grace said you told her you went into debt to buy your house." To which I always reply, "Why would you believe anything Grace says?"
Oh, when I replied, "Okay," she narrowed her eyes and looked at me and said, "Yeah, you're such-and-such incorrect generalization." I again said, "Okay" in an obvious, offhand, I-couldn't-care-less manner and kept working on whatever it was I was working on. Coworker was still peeved because her baiting wasn't working on me (thinking about it makes me laugh inside still). All I could think is, "I'm not about to tell you what you want to know because it's far more important to me to not give you ammo."