It could be she likes you since staring can be a sign that someone is interested in you. You could try and talk to her so that you don't feel weird every time she keeps staring at you. There is also the reason that she may be doing that subconsciously as that can happen. It could be she has a lot on her mind and she zooms off and may seem she is staring at you. Just talk to her and maybe it could turn out to be a good friendship between the two of you.