Legal Question in Family Law in North Carolina

It depends. When was the test done? Did the father, prior to the test, legitimate the child by either marrying the mother or filing a legitimation petition? Or did the father make a will or sign an affidavit of parentage acknowledging that he was the father of the child?

Even if the DNA test proves otherwise, the father can always make a will naming the child as a beneficiary. In such case, the child could inherit.

Is the father still living? Is he dead?

You ask a complicated question and the answer will ultimately depend on more facts than you have posted here. I am not sure why you are interested or if the father is still alive. If the father is deceased, then you may want to talk with a probate attorney. If the father is alive, then I am not sure what the remedy would be if the father has already legitimated the child. You cannot "un-acknowledge" someone. However, I do not practice in this area regularly and you should speak to a family law practitioner about this.