what you can or cannot do in your case verys greatly from state to state. Your best bet would be too contact your States social services department and tell them what is going on with your mother and they will either help you or advise you where to get legal assistance.
You have to keep paying child support. The visitation issue is separate and you should consider straightening out your legal status so that you can seek relief. If you were not married to the child's mother, your options are also limited.
Jesus' mother is Mary, and his brother is James.
see links below
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She has to be served. see links below
Go to Family Court and file for a visitation order.
To fight for your rights see links
you don't explain why your brother isn't allowed to see the children. It is my bet that this is a paternity situation, or the mother has sole custody. If I am correct, your brother can petition the court for his parental rights and establish a visitation schedule. If the Wife won sole custody through divorce, because of abuse, or some sort of instability your brother may have presented the court, he can still petition for a modification and if he can show that the prior situation has changed he will have a visitation and contact schedule enforceable by a judge and local sheriff. At any rate, the right to see a child does not proceed the right to support them. This happens alot in department of revenue cases. It isn't right, nor fair, but your brother can seek the courts intervention and if there are no barriers (abuse, criminal record, drugs, and the like) in his way, he will win.
She cannot no, but she can petition the court for an order preventing it. It would be up to the mother to present a viable case why the presence of the girlfriend would present a danger to the child or otherwise not be in the child's best interests.
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If the father has visitation rights and the mother refuses to allow the father those rights, then the father can sue the mother in a civil contempt proceeding. If she doesn't have a good reason for disallowing the visitation then she can be held in contempt of court. There are various remedies including giving the father more visitation to make up for the visitation that was disallowed by the mother or even giving the father custody, but usually, the judge will just order the mother to allow the visits. His paying or not paying child support has nothing to do with whether or not he gets visitation (i.e. he gets visitation regardless of whether or not he is current with child support).