I have been talking to this girl for a while, she said she has a boyfriend and he loves her, but they have been apart at times. She apparently does not live with him they have their own places and they spend allot of time together.

This is where the twist comes in she said she would meet me for drinks , etc. some time that sounded great, but some time ago we had a falling out and she said that she was finished with me, but she still has me on her social networking pages, if she was really finished with me would't she remove me?

No, not necessarily. She might care little what you read about her. If you were "just friends" you are probably in a group with other friends.

Did you ever meet her for drinks "and etc." or was this an Internet relationship, something else?

Did not end up meeting as we go into a fight before that could be arranged, and it was both over the phone net relationship.

Then I wouldn't waste any time thinking about the situation - my feeling is you are one of many people she was in contact with.

She's an Internet cheater (on her boyfriend), probably likes the attention, backs off when a meeting gets too close for her comfort.

I will also add that I believe people - someone says he/she is done... he/she is done.