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Family name Coney (Coney , 康尼 ) , all over the world, is quite a common surname. The cognomen Coney is characteristic of the United States, where it is quite a rare surname, the United Kingdom, and New Zealand. Measured by absolute frequency, it is the most numerous in the United States, the United Kingdom, and Australia. Much less frequently, Coney is the forename as well as the last name.