British House of Lords vs House of Lords

British House of Lords and House of Lords both are nouns.

Word	Noun	Adjective	Verb	Adverb
British House of Lords	Yes	No	No	No
House of Lords	Yes	No	No	No

As nouns, British House of Lords and House of Lords are synonyms defined as:

British House of Lords and House of Lords: the upper house of the British parliament

British House of Lords (noun)	House of Lords (noun)
the upper house of the British parliament	the upper house of the British parliament