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Last name Alabaster (Alabaster , Alabastro , Albâtre) , in the entire world, is quite a rare cognomen. The family name Alabaster is characteristic of Philippines, where it is quite a rare surname, the United Kingdom, where it is a rare surname, and Australia. Measured by absolute frequency, this name is the most popular in Philippines, the United Kingdom, and the United States. Much less frequently, Alabaster is the forename as well as the last name.