Tough call. You have a right to be suspicious, but it would just seem to me that you'd need a lot more exposure to her to figure out what really motivates her. Meaning I wouldn't walk away from her just yet.
Women can be very frustrating at times just trying to understand them. I suppose for now all you can really do is to be cognizant of the difference between dating someone and having an actual relationship with them. Just hang in there and see where it goes.
IMO dating itself remains a ritual shrouded in a lot of social subterfuge to begin with.
Reminds me of when our family stayed with his best friend's family for a few weeks when we moved to a new place. Every time the phone rang we'd hear their 18yr old daughter charge down the stairs only to stop at the phone and let it ring off the hook before answering one of her "suitors".