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Most certainly. All you will have to do is file an emergency motion for custody relaying this information to the court and the court will award you full custody - they may not even want her to have visitation unless she goes through drug rehab or something first - it depends on the court. Also, you may be liable if you don't take action and she causes a problem - you knew of her problems - thereby placing the child at risk.
No, she can't take the child outside the state without your consent - unless it's just a routine visit or something with family members and only one or two nights.
I would bring the emergency motion immediately.