wild cinnamon vs Jamaica bayberry

wild cinnamon and Jamaica bayberry both are nouns.

Word	Noun	Adjective	Verb	Adverb
wild cinnamon	Yes	No	No	No
Jamaica bayberry	Yes	No	No	No

As nouns, wild cinnamon and Jamaica bayberry are synonyms defined as:

Other synonyms of wild cinnamon include bay-rum tree, bayberry, Pimenta acris.

wild cinnamon (noun)	Jamaica bayberry (noun)
large evergreen shrub or small tree having white aromatic bark and leathery leaves and small purple to red flowers in terminal cymes	West Indian tree; source of bay rum
West Indian tree; source of bay rum