Barbary vs Berbery

Barbary and Berbery both are nouns.

Word	Noun	Adjective	Verb	Adverb
Barbary	Yes	No	No	No
Berbery	Yes	No	No	No

As nouns, Barbary and Berbery are synonyms defined as:

Barbary and Berbery: a region of northern Africa on the Mediterranean coast between Egypt and Gibraltar; was used as a base for pirates from the 16th to 19th centuries

Other synonyms of Barbary include Barbary Coast, Berber Coast.

Barbary (noun)	Berbery (noun)
a region of northern Africa on the Mediterranean coast between Egypt and Gibraltar; was used as a base for pirates from the 16th to 19th centuries	a region of northern Africa on the Mediterranean coast between Egypt and Gibraltar; was used as a base for pirates from the 16th to 19th centuries