Miracles of all miracles! I finally got Lola to come inside my apartment tonight!
I went out to go to the store and she came running when she saw me, so I went back up to get her some good canned food and went back down to her. I gave her a small spoonful and then gradually got her to follow me up the stairs with little bits of food. I had left my door open so I just backed up into my apartment and she followed me inside. I slowely closed the door behind her! She got a little freaked out and ran into the living room meowing like crazy, and then settled down behind the overstuffed chair (where I had already put a new bed for her, knowing she would feel safe back there). I set up her litter box and food and sat quietly. She meowed for awhile and then I leaned over the back of the chair, softly saying her name and put my hand down to her. She brushed up against it and I started petting her. She loved it and purred loudly! I am really hopeful that this will work out! I have Sophie locked in the bedroom for now (she spends most of her time in there anyways).
We will just have to be careful when we open the front door to make sure she doesn't try to escape, until she decides she likes it better in here than outside. I can't believe I got her inside finally! So excited! Yay!!! Will keep you updated on her progress!