James the sixth of Scotland was crowned James the first of Great Britain. However he is always seen as the first of England. All monarchs have taken English titles:see William the third and fourth, which should have been the second and third of Great Britain. Edward the seventh should have been Edward the first. Why say James the first but Edward the seventh? The same rule should apply to Edward the eighth and the present Queen who should be second of England and first of Great Britian (it doesn't matter whether you take 1603 (Union of the Crowns of Scotland and England) or 1707 (Union of the Parliaments of Scotland and England) as the starting point for common titles, the fact remains that English titles, not common titles, are deemed to be correct.
The word 'Anglo' is used to mean English as in Anglo/Scottish football match but British as in Anglo/Irish Agreement and a further point, if you look at The Times web page, they have separate entries for Britain and Scotland! Confusing?