The third one, yes. They haven't named any more than the first three.All I know is one of the Ford-class boats will revive the name Enterprise.
If you go to Google maps and zoom in on the Newport News shipyard, I believe the Enterprise and Ford are at adjacent piers—one coming and one going. It looks like eight square holes have been cut in the Big E's deck, which I presume are where the nuclear reactors have or will be removed.