Of course. The custodial parent should know where the child will be when she is with the non-custodial parent. If something should happen to the non-custodial parent the custodial parent should know where to get the child. Wanting to keep that type of information secret shows a problem of non-cooperation and a parent who is not thinking of the best interests of the child.
Generally, no.
what if the noncustodial parent still reside with the custodial parent, is noncustodial parent still obligated to pay childsupport
Generally the noncustodial parent may move anywhere - within or outside the state where the children live. The court grants the noncustodial parent the right to visit the children but does not force the noncustodial parent to take advantage of that right. However, a court may require the noncustodial parent to provide the custodial parent with contact information and, where issues develop about the care or safety of the children, the court may require supervised visitation or at least that the noncustodial parent advise the custodial parent where the children will be.
No.
for what?
Yes, they do.
If the noncustodial parent tries to keep the child, the custodial parent can get the noncustodial parent charged with kidnapping and contempt of court both can be jail time for the noncustodial.
Yes. The marital status of the custodial parent change does not change the obligation of the noncustodial parent.
Only AFDC
none
No, but the non-custodial parent has a pretty good case for getting custody in court.
A noncustodial parent can prevent the custodial parent from leaving the state with a baby or child. The court will decide if the custodial parent has just cause to leave the state.