grandparent rights

What is the name of your state?az do grandparents have any rights if birth mother gave child up for adoption? is there a way to find out what adoption agencey was used if i have a live birth certificate?

No, gps do not have rights after adoption, assuming it was a non-relative, non-stepparent adoption. And even if were one of those two, your chances of getting "visitation" are very slim. If the child was adopted as a newborn through an agency, as your post implies, you have absolutely no legal standing to petition for visitation as you are a legal stranger to the child. You had no rights to begin with, and as soon as both parents agreed to adoption, signing termination papers, your legal relationship to said child (as in, "grandparent" title) ceased. The child's birth certificate will now show the adopting parents as parents, just as if they had given birth to this child themselves, and the only legal or real grandparents this child now has are the parents of the adoptive parents.
Please let this go - perhaps seek some grief counselling for the loss you feel - but don't even try to disrupt an innocent child's right to a peaceful life. YOu have no standing.