Do them democrats vote in republican primaries in the states you list? Basically it should republicans voting in their primary unless it is an open situation.
In New Hampshire you do not even have to physically live in the state, all you have to do to register to vote on election day is say you PLAN to move there and so you want to vote there and they allow it... this was likely one reason Hillary did so well in NH, there was reports of a whole lot of MA license plates in the parking lots on primary day.