Actually, I think she's right- it's sounds as if you and your friend's might be bullying her.
She's paranoid? You & your friends are obviously slagging her off and you are posting a message on a public message forum also slagging her off. Sounds as if she has reason to be paranoid.
She's clingy? She wants to be your friend!
She's a liar? She's trying to impress you because she wants to be liked by you. Same reason for calling you up and asking where you buy your clothes- she simply wants be like you and your friends, because she wants to be accepted by you. God only knows why! I wonder what makes you and your gang so special.
Give the girl a break and stop being such a b*tch. If you don't want to be her friend, do it the nice way and fix her up with a someone she could possibly become friends with. Or carry on being the nasty cow you appear to be and tell her the truth- you don't like her, don't want to hang around with her, so she's better off finding some real friends.
Whatever you do in this situation, for the future, I suggest you obtain some social skills and a little bit of empathy towards people. Bullies like you often come a cropper!