Sounds like she doesn't really wanna know you. This has happened to me a few times. If she doesn't seem willing to even have a normal conversation with you, you should just forget about it. Sure, you can start a conversation when you meet her again but if it doesn't seem to work out to begin with, my guess is she just isn't interested. I know that's hard if you don't meet a whole lot of girls (I had that problem for quite a long time) but the right solution to that is finding more girls, not focusing on the first one you meet.