Lancaster vs House of Lancaster

Lancaster and House of Lancaster both are nouns.

Word	Noun	Adjective	Verb	Adverb
Lancaster	Yes	No	No	No
House of Lancaster	Yes	No	No	No

As nouns, Lancaster and House of Lancaster are synonyms defined as:

Lancaster and House of Lancaster: the English royal house that reigned from 1399 to 1461; its emblem was a red rose

Other synonyms of Lancaster include Lancastrian line.

Lancaster (noun)	House of Lancaster (noun)
the English royal house that reigned from 1399 to 1461; its emblem was a red rose	the English royal house that reigned from 1399 to 1461; its emblem was a red rose
a city in northwestern England