All Fords are cars but not all cars are Fords....
All English people are British but not all British people are English....
England is one country in Great Britain; the other <proper> country is Scotland. Northern Ireland and Wales are also part of Great Britain but not Ireland proper, which is a separate country. It is a source of great confusion to us (Americans) but they seem to understand it well enough. It is probably all very simple, right and proper, eh wot, Gov?
By the way, a similar situation exists in the US with regard to "Holland" which most of us think is a country but is really only the two largest sections (counties?) of The Netherlands. There is no such country as Holland.
Brian
True everywhere.
P.S. Please excuse my cultural insensitivity but what's the difference?