United Kingdom of Great Britain and Northern Ireland vs public school

United Kingdom of Great Britain and Northern Ireland and public school both are nouns.

Word	Noun	Adjective	Verb	Adverb
United Kingdom of Great Britain and Northern Ireland	Yes	No	No	No
public school	Yes	No	No	No

United Kingdom of Great Britain and Northern Ireland (noun)	public school (noun)
a monarchy in northwestern Europe occupying most of the British Isles; divided into England and Scotland and Wales and Northern Ireland; `Great Britain' is often used loosely to refer to the United Kingdom	a tuition free school in the United States supported by taxes and controlled by a school board
	private independent secondary school in Great Britain supported by endowment and tuition