bayberry vs bay-rum tree

bayberry and bay-rum tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
bayberry	Yes	No	No	No
bay-rum tree	Yes	No	No	No

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

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

bayberry (noun)	bay-rum tree (noun)
West Indian tree; source of bay rum	West Indian tree; source of bay rum
deciduous aromatic shrub of eastern North America with grey-green wax-coated berries