OP, people aren't really all that rooted to places.I just want to keep everything the same for child. Is that such a bad thing? Just trying to protect child from the risk of being uprooted.
People are rooted to people. To each other.
So in addition to trying to take the child from her "unstable living enviroment," you also wish to remove her from her one solid steady beacon of "same"-ness, her mother.
Do you see the problem here?