lady of the house vs housewife

lady of the house and housewife both are nouns.

Word	Noun	Adjective	Verb	Adverb
lady of the house	Yes	No	No	No
housewife	Yes	No	No	No

As nouns, lady of the house and housewife are synonyms defined as:

lady of the house and housewife: a wife who manages a household while her husband earns the family income

Other synonyms of lady of the house include homemaker, woman of the house.

lady of the house (noun)	housewife (noun)
a wife who manages a household while her husband earns the family income	a wife who manages a household while her husband earns the family income