Paternity Rights in FL- mother and child in NH

In some states, absent the assent of the legal father, a biological father has no legal right to attempt to claim paternity of a child born in wedlock. In states that make an exception, it is typically required that the husband and wife not reside together at the time of conception, and (with due consideration to the child's age) that the biological father maintain a relationship with the child after its birth.

So it all comes down to what the rules are in NH for a biological father who lives in another state? The fact that she never gave me any rights since the day she was born, and even after I took the DNA test to prove that I was the father, may have absolutely no bearing on the outcome of the ruling?

The laws of New Hampshire, or possibly Connecticut.

Thanks for your help Aaron. This gives me a good idea of what to expect. I'm not too optimistic on the outcome of this, but at least now I'm aware. I feel like she's going to win regardless of the efforts I make. That has always been the case and it makes me really sad and upset to know that she can get away with this.