Barbary is not commonly used as a baby girl name. It is not listed within the top 1000. In 2018, among the family of girl names directly related to Barbary, Barbara was the most popular.
Baby names that sound like Barbary include Barbara (English, French, German, Hungarian, Italian, Polish, Slavic, and Spanish), Barbora (Czech and Slavic), Bairbre (Irish), Barbar (English), Barbra (English, German, Scandinavian, and Spanish), Barbro (Scandinavian), and Báirbre (Irish).
† English pronunciation for Barbary: B as in "be (B.IY)" ; AA as in "odd (AA.D)" ; R as in "race (R.EY.S)" ; ER as in "hurt (HH.ER.T)" ; IY as in "eat (IY.T)"