sweet birch vs cherry birch

sweet birch and cherry birch both are nouns.

Word	Noun	Adjective	Verb	Adverb
sweet birch	Yes	No	No	No
cherry birch	Yes	No	No	No

As nouns, sweet birch and cherry birch are synonyms defined as:

sweet birch and cherry birch: common birch of the eastern United States having spicy brown bark yielding a volatile oil and hard dark wood used for furniture

Other synonyms of sweet birch include Betula lenta, black birch.

sweet birch (noun)	cherry birch (noun)
common birch of the eastern United States having spicy brown bark yielding a volatile oil and hard dark wood used for furniture	common birch of the eastern United States having spicy brown bark yielding a volatile oil and hard dark wood used for furniture