Response to your Edit, so you have met my ex wife “wild animal “!Mama needs to integrate too....the rest know she's there. I'd let them work things out. She's not really going to roost with the babies until she's fairly comfortable with the environment. If she wants to take the babies into the coop, I'd be inclined to provide some extra shelter where she wants to take them, but otherwise let them sort things out. She'll merge better with the others. Once she's settled in with them, working on taming her (and babies) can start happening. She's not used to the level of attention you provide, so it's going to make her more nervous. "Ignoring" her while working with the others will give her space to see how the other respond to you and give her time to work out her position with them.
Edit: you're taming a "wild" animal. Take things SLOWLY, at HER pace. Spooking her will reset any progress you've made.
