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Last name Stoner (Stoner , סטונר ) , in the entire world, is a common cognomen. The cognomen Stoner is habitual in Malta, where it is quite a common surname, Jamaica, where it is quite a rare surname, and the United States. Measured by absolute frequency, it most frequently occurs in the United States, the United Kingdom, and Indonesia. Much less frequently, Stoner is the forename as well as the last name.