Why don't you let her come over, chat a bit, and who knows, you might even be able to resolve a couple of things. If she's been your friend for a long time it's worth trying to save the friendship, isn't it?
I think the best thing you could do is be honest with her. Tell her that you get the impression she's been ignoring you, and ask her why. If she lies, or is mean to you then at least you've tried... Where's the harm in that?
Based on your post things couldn't get any worse between the two of you. Why not try to make 'em better then