Jamaica bayberry vs wild cinnamon

Jamaica bayberry and wild cinnamon both are nouns.

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

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

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

Jamaica bayberry (noun)	wild cinnamon (noun)
West Indian tree; source of bay rum	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