true puffball vs puffball

true puffball and puffball both are nouns.

Word	Noun	Adjective	Verb	Adverb
true puffball	Yes	No	No	No
puffball	Yes	No	No	No

As nouns, true puffball and puffball are synonyms defined as:

true puffball and puffball: any of various fungi of the family Lycoperdaceae whose round fruiting body discharges a cloud of spores when mature

true puffball (noun)	puffball (noun)
any of various fungi of the family Lycoperdaceae whose round fruiting body discharges a cloud of spores when mature	any of various fungi of the family Lycoperdaceae whose round fruiting body discharges a cloud of spores when mature
	any of various fungi of the genus Scleroderma having hard-skinned subterranean fruiting bodies resembling truffles