Relocation and terminating parental rights

I live in Ohio but will be moving to North Carolina in a few months. I have sole custody of my son and his father (who lives in Oklahoma) has no visitation. I have tried to get him for child support but they can't find him to serve him. He hasn't seen my son but twice in two years both times at my doing (once i drove there and the other i paid for him to come here) and has sent no money, bday cards, nothing for christmas. His contact is sporadic at best and he only wants to argue. My question is, when I move to NC and have lived there for 6 mos., am I able to file for termination of parental rights under their laws, or because my son was born in Ohio, does it have to be here? Ohio won't let you terminate rights without an adoptive parent to take responsibility.