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Family name Byr (Willoughby , Byr ) , globally, is a common last name. The surname Byr is habitual in Belize, where it is quite a common surname, Barbados, and Ireland, where it is quite a rare surname. Measured by absolute frequency, it most frequently occurs in the United States, the United Kingdom, and Australia. Much less frequently, Byr is the forename as well as the last name.