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Last name Bunne (Bunne , Bound ) , across the world, is quite a rare family name. The surname Bunne is characteristic of Northern Europe, particularly Isle of Man, where it is quite a rare surname, Latvia, and the United Kingdom, where it is a rare surname. Measured by absolute frequency, this name is the most popular in the United Kingdom, the United States, and Australia. Much less frequently, Bunne is the forename as well as the last name.