Should i give up on her ?

Hello all , i'm having a problem. Yes , love problem. So here's my story. thanks for reading it and all answers are accepted. thanks

So it started last year , on February 2012 i started texting this girl i know through my cousins. at that time , I've never seen her in real. only Facebook photos's . At first i had only a crush on her then i continued texting her everyday and around august , i fell in love with her. I thought she liked me too because she would ask me to call her and we would talk from 12-5 am and she will never say bye, we would talk until she fell asleep.And even when we're texting , she wont say bye. when i say bye she would do the sad face and ask why should i go and all. so i summed it all and thought she liked me too. so i confessed , through text. i know its a mistake. and yes , she rejected my confession. she said , " I dont know who i want , i have a lot of crushes". I respected her and we continued talking. I continued texting her everyday and in between that i would joke to her about me being her bf and she would alwyas reject it. And i have asked her out around 3 times, she told me that her parents are strict and wont let her go out with strangers easily. So i cant meet her. at all. and then she told me to get to know her in real more. then i told her it was her fault that she don't wanna come out and she said yes its my fault. and things were just going like that until December and i started to get fed up about all the shits. So i asked her for one final time , will she like me. and she said no but we can still be friends. i told her that she friend-zoned me and that i don't want and i cant just be her friend. i have a strong feelings on her. So we had a small argument and i stopped talking to her since december. She deleted me from facebook and unfollowed me from twitter, so i just left it like that. And then , this month , my cousin told me that she was talking to that girl about me and her and that she asked me why i stopped talking with her and i told her that i cant just be her friend. and then she told me , the girl i like told her that she "partially" likes me. and she also told her that she likes me but don't wanna date me. what was that supposed to mean? and then 2 weeks ago she added me back and sent me a message which i didn't reply. and then now , just few hours ago she sent me a message saying sorry about what happened between us and im giving up on trying to talk again with you , it seems like you don't want me in your life. and then BOOM! she deleted me again. my question here is , should i pick up the phone and call her? if yes what should i tell her? and , i still have a really strong feelings for her , what if she just wants me as a friend? should i accept it? that would be considered desperate right? please help me, in a really big dilemma :/