hieratic script vs hieroglyph

hieratic script and hieroglyph both are nouns.

Word	Noun	Adjective	Verb	Adverb
hieratic script	Yes	No	No	No
hieroglyph	Yes	No	No	No

As nouns, hieroglyph is a hypernym of hieratic script; that is, hieroglyph is a word with a broader meaning than hieratic script:

hieratic script: a cursive form of Egyptian hieroglyphics; used especially by the priests
hieroglyph: a writing system using picture symbols; used in ancient Egypt

Other hypernyms of hieratic script include hieroglyphic.

hieratic script (noun)	hieroglyph (noun)
a cursive form of Egyptian hieroglyphics; used especially by the priests	a writing system using picture symbols; used in ancient Egypt
	writing that resembles hieroglyphics (usually by being illegible)