mayhaw vs hawthorn

mayhaw and hawthorn both are nouns.

Word	Noun	Adjective	Verb	Adverb
mayhaw	Yes	No	No	No
hawthorn	Yes	No	No	No

As nouns, hawthorn is a hypernym of mayhaw; that is, hawthorn is a word with a broader meaning than mayhaw:

mayhaw: hawthorn of southern United States bearing a juicy, acidic, scarlet fruit that is often used in jellies or preserves
hawthorn: a spring-flowering shrub or small tree of the genus Crataegus

Other hypernyms of mayhaw include haw.

mayhaw (noun)	hawthorn (noun)
hawthorn of southern United States bearing a juicy, acidic, scarlet fruit that is often used in jellies or preserves	a spring-flowering shrub or small tree of the genus Crataegus