I'm sorry, but I have to agree with the rest and say that this whole situation between you two is wrong. I know you have no malicious intent here, but all the same, there could be people who see it as predatory. Would you feel comfortable with a 12 year old girl talking to a complete stranger on the web? I certainly wouldn't be.

Another point was brought up that it could be a lure, an undercover officer who might be out there to find predators. Or it could be the opposite, an online predator who could be masquerading as a 12 year old girl to lure you into a false sense of security, taking advantage of you to put you in a very dangerous situation offline. I would be super careful about anything to do with anyone online who claims to be a 12 year old girl.

One more thing, you seem to be making up excuses as to why you SHOULD be continuing the communications. Perhaps you believe that she is being abused and/or feeling the things she is feeling because they are actually your own feelings and abuse being transferred onto her. Maybe you want a friend, someone to connect to so badly that you don't honestly care how risky the situation might be. I understand that you're very lonely and want a friend, but seriously, this isn't the way to go about it.