Wrong again. James I of England (aka James VI of Scotland, prior to uniting the kingdoms) clearly was referring to the island. I would quote much more from "The Later Stuarts" volume of the Oxford History of England series, but your mind is closed, so there is not much point.
Yawn. As usual it is you who is in error. The record of debates in Parliament delineate the proper use of the names.
JOURNAL OF THE HOUSE OF COMMONS, 26 APRIL 1604:
On the Union with Scotland:A Title to a Kingdom, by them who have Interest, cannot be given, without Giving of the Kingdom.
By this Name the Kingdom of England dissolved.
The Name of Brittaine doth result upon England and Scotland, and therefore cannot be without an Extinction.
Not like the Case of Audley and Suffolk, Buckhurst and Dorsett. We can give no Laws to Brittaine because we are but Parcel: Scotland cannot, because it is another Part: - Together we cannot, because several Corporations. By this our Parliament dissolved.
This Title confirmed by Act of Parliament to King H. VIII. and his Successors, for ever.
We have recognized the King this Parliament, to be King of England, &c. -
Impossible to alter it the same Parliament.
But the King will only style himself so to foreign Nations. - If he be not King of Brittaine at home, he is not King of Brittaine in reference to foreign States.
England and Scotland, Words of Nugation: Viz. doth not serve for the Division of them from Brittaine. -
A Kingdom, a Thing indivisible, therefore the Viz. repugnant.
But we may help all by a Proviso. - Ridiculous, that we should do a Thing, and say, we did not intend it.
Who shall interpret our Acts ? - The King of Great Brittaine, shall interpret, &c. and Grants, &c. for the King, largely taken, and not strictly, &c.
"Brittaine," or Britannia, is the landmass on which England and Scotland reside. The political entity that came to be when the "Kingdom of England," as it stood alone and separate from Scotland, was dissolved is the "Kingdom of Great Britain" under the "King of Great Brittaine," that person being James at the time. James himself later assumed the title of "James, King of Great Brittaine" again in the political sense.