That's generally the case, especially if paternity has not been established, unless the courts have ordered otherwise.
It depends on who has legal custody.
yes
Slim to none. Usually the courts will take the view that whoever has custody will retain custody, unless it can be proven that the custodial parent is abusing the child or the child is in physical danger.
It depends on the reasons for moving and the age of the child. How has custody of the child.
If an official change of custody has not been done, yes. see link below
File for change of residential custody. see links
Anyone with a child living with him/her should have legal custody of that child - it can avoid all sorts of problems with the child's education, medical care, etc.
you report the mother immediately and take chilld out of this dangerous situation and file for custody a.s.a.p.
In 49 states, she has sole custody until designated otherwise by a court under ALL POSSIBLE circumstances. see link
You have the right to file for a change of custody with the court. You will have to present convincing evidence that the child's mother is unfit to retain custody of the child. Frankly: It is a stiff burden of proof to overcome to convince the court to remove a child from its mother's custody.
YeS she can
Parental Custody is whoever the child lives with. Joint custody is when a child lives part time with both parents or when each parent shares in raising the child. They make decisions together.