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Last name Coey (Coey ) , globally, is quite a rare family name. The family name Coey is characteristic of Isle of Man, where it is quite a rare surname, Hong Kong, where it is a rare surname, and Taiwan. Not in comparison with a country's population, this name is the most popular in the United States, Indonesia, and the United Kingdom. Likewise, Coey is the forename as well as the last name.