It's a good walk ruined.
Northern Ireland, Norn Iron, Our Wee Country, the province, the occupied six counties, the North, Ulster, 6/9ths of Ulster, The United Kingdom of Great Britain and Northern Ireland....take your pick. Ambiguous? You betcha. Really does depend on your point of view. What you stated was correct, Northern Ireland isn't technically Britain, but it's people are British subjects who have the option of both a British or Irish passport. Rory supports Ulster (in Rugby) and Northern Ireland in football....but that's all by the by.