church vs Church of England

church and Church of England both are nouns.

Word	Noun	Adjective	Verb	Adverb
church	Yes	No	Yes	No
Church of England	Yes	No	No	No

church (noun)	Church of England (noun)
a service conducted in a house of worship	the national church of England (and all other churches in other countries that share its beliefs); has its see in Canterbury and the sovereign as its temporal head
a place for public (especially Christian) worship
one of the groups of Christians who have their own beliefs and forms of worship
the body of people who attend or belong to a particular local church

church (verb)	Church of England (verb)
perform a special church rite or service for