I have this same problem. My son is 19 also, girlfriend 20. Now her mother is trying to convence her not to put him on the birth certicate, and she is thinking about moving to Georgia we all currently live in Arkansas. So what are his rights, and ours as grandparents? Can we get a court order ordering her to stay in Arkansas or to take a DNA test? She is almost 9 weeks, there is one paternity test that can be done between 10-16 weeks. Can we force it with an order or does she get to decide if she wants to do it?