This is hard Chris... really hard... but I think it's easy to see where she's coming from in my opinion.

This lady is really trying to connect with you as a brother in the Lord, but she is afraid. She is afraid you may do something to harm her child... and she doesn't want you to get too close.

She struggles to maintain a balance between those two things... and she's trying to express to your her struggle... she lacks the words to articulate it clearly and perhaps the courage to speak to you about it directly.

I don't think she's trying to be mean... she's trying to say... I accept you even though I'm afraid of you.... and she's putting some boundaries in place so that you stay at a distance she feels safe about.

Praise God she's makeing an effort. If she knows you have done jail time it can only add so much to her fear. I encourage you to be strong brother. Be patient with her and value the acceptance she does give you. When she expresses her fear perhaps you can offer her some reassurance.... maybe it would be too big a topic but imagine this:

Her: "just as long as you don't ever show up at our house"
Chris: "are you really so afraid of me as that? I would never do anything to harm you or your family"

Who knows where it would go but you could even express to her how sad it makes you to be the subject of such mistrust and fear. If she really cares about you as she seems too then the relationship could blossom and you may find a good friend in her.

Trust it to God bro, He will sustain you.
Blessings
Cat.