Are grand parents rights greater that mothers rights?
No one has greater rights than a parent.
Can you give up parental rights of a child if a child is living with their grand parents who have legal custody in order to wipe out child support debit?
When grandmother adopt a grand child does the grandfather has the same rights even if the grandmother gets divorced in New Jersey law?
Technically, the sister and brother of one of your grandparents are your grand-aunt and grand-uncle. "Grand" shows that it is one generation away- the generation of your grandparents. "Great" is properly added to those generations beyond "grand." However, in common usage people generally refer to the siblings of grand parents as great-aunt and great-uncle.
Does a preliminary hearing or a grand jury better balance the rights of society and the rights of the accused?
If a dog is good with others has neither anything to do with its sex nor its breed. I'd say be sure the dog's genes (parents, grand-parents, grand-grand-parents) are clear headed and well bred. Considering the line is good it is up to the dog's upbringing how she will behave, act, listen, play, just BE.