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Last name Quince (Quince , Kinse , Cooing) , all over the world, is quite a rare surname. The last name Quince is characteristic of Jersey, where it is quite a common surname, Japan, where it is quite a rare surname, and the United Kingdom, where it is a rare surname. Not in comparison with a country's population, the name is most common in Japan, the United States, and the United Kingdom. Much less frequently, Quince is the forename as well as the last name.