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Question: I'm wondering if this is legitimate.
Answer: It is not
Question: And also, what my chances are of pursuing sole custody.
Here's why. As a parent you are the natural guardian of your child. Unless a court orders otherwise, you, as parent in possession of your child, have custody and can choose whether to allow the child to visit with the other parent or his extended family
. You can relocate or travel with your child and deny visitation
to the stepmother and to the father.
That said, I suggest that you apply for sole custody immediately. The safety of the child is the most important factor in determining custody. Under the circumstances you described, it is highly unlikely that a court would give your husband unsupervised visitation. That said, until the court grants you sole custody, it would typically be best not to allow the child unsupervised visitation with extended family or the other parent.