That's as may be Doug but a great issue was made about the different nations of the UK voting in different ways. The BBC Brexit results page is about the clearest I think - here

I was trying to clarify Thompson's question "Is Brexit mostly British or English?" and, on relfection, it is neither! You sum it up well with "The referendum was held in the UK" but I think Thompson needed clarification on what constitues the UK.

Your point about NI is true but is still a bone of contention for many. I visited Whitehead, just north of Carrickfergus, recently and it is a lovely stretch of coast. Do you think if I move there they will eventualy be classed as in the EU? :-D