I'm going to tell you what I told a male friend of mine going through a divorce. In his case he devoted a huge chunk of his life to a lady, had a kid, and then she threatened to take everything from him. You have to get mad enough to stop being taken advantage of and you need a competent attorney. Divorce, get out, move on with your life. There is nothing left for you in this relationship with her, because there never was a true relationship to begin with. Likely you saw the warning signs, and ignored them. People likely questioned and warned you, not out of maliciousness, but out of concern for your well-being. People are not perfect, and make mistakes. If such mistakes result in not having a parsonage or being a pastor at a location, then you need a backup plan - not just for yourself, but for your child. Perhaps this kind of change is a new direction that's needed in your life.
As a pastor you should understand that what this lady is asking you to do is live in sin. A type of sin that is lying to yourself, your family, your parishioners, your church, your government, and your god. You were a ride and she'd like you to continue to be that ride. Biblically, what are you told to do? You might think it is to offer some charity and continue to dig yourself deeper into the hole of the lie because you are afraid of what will happen to her. But that is just stumbling some more. Yes, she might be taken and removed - well, that's a her problem. If she wants to turn herself in - okay, call the bluff. She has proven herself to be resourceful in such a short time, I guarantee she will move onto her next best scam. You ask if she loves you, and you already know the answer to that question. It is clear in everything you have stated. It is unpleasant to think about I know, but she doesn't need to tell you what you already know. I'm sure she is desperate. Her desperation has nothing to do with you. She was not desperate enough to love you.
What did Jesus do when he entered the temple and saw the money changers? Did he offer sympathy or charity? Was there offers of love or acceptance of their blatant behavior? Did he tell them they could stay and do their thing in case they got into some trouble? No.
I'm not trying to come off as harsh but you need to think of yourself and your kid. I am the child of a former pastor who once made the choice to upend his family and leave that parish house and ministry because it started to feel like a millstone around one's neck instead of a calling. It was very difficult for a time, but I often remind him, of how far he came and what blessings came of it, in the times he likes to forget.