No offense intended Fancypants, but I can't think of any other way to describe your attitude except "pathetic". Your problem is you care at all about what this woman and others think about you, and you come on here desperate to analyse her behaviour in hopes that she might like you. It sounds like you have an anxiety disorder.
If you come across this needy and grovelling over the internet, I can't imagine how badly this woman sees you in real life. Even if you ended up boning her, eventually she'd get to know the 'real you'... i.e the one who comes off as whining, needy, desperate, begging, anxious, and she'd either dump you real quick or use you for your money while she cheats on you with a more stable and attractive man. Oh and btw, if you're like this around her.. then there's no way she's really attracted to you - no matter what you've 'heard people saying'. There's your answer.
Do yourself a favour. FORGET HER. If you're this worried and thinking about her her this much.. then CUT HER OUT OF YOUR LIFE and meet some better people who DONT cause you this much stress. I do not foresee you being happy with this woman, no matter WHAT you do.
Nobody here is going to give you advice on how to 'get her back in your life', because that would be like instructing a mental patient on how to commit suicide.