moral sense vs morality

moral sense and morality both are nouns.

Word	Noun	Adjective	Verb	Adverb
moral sense	Yes	No	No	No
morality	Yes	No	No	No

As nouns, morality is a hypernym of moral sense; that is, morality is a word with a broader meaning than moral sense:

moral sense: motivation deriving logically from ethical or moral principles that govern a person's thoughts and actions
morality: motivation based on ideas of right and wrong

Other hypernyms of moral sense include ethical motive, ethics, morals.

moral sense (noun)	morality (noun)
motivation deriving logically from ethical or moral principles that govern a person's thoughts and actions	concern with the distinction between good and evil or right and wrong; right or good conduct
	motivation based on ideas of right and wrong