wild cinnamon vs bay-rum tree

wild cinnamon and bay-rum tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
wild cinnamon	Yes	No	No	No
bay-rum tree	Yes	No	No	No

As nouns, wild cinnamon and bay-rum tree are synonyms defined as:

Other synonyms of wild cinnamon include bayberry, Jamaica bayberry, Pimenta acris.

wild cinnamon (noun)	bay-rum tree (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