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Family name Jessamy (Jessamy ) , throughout the world, is a rare last name. The surname Jessamy is habitual in Latin America and the Caribbean, particularly Barbados, where it is quite a common surname, Grenada, and Trinidad and Tobago, where it is quite a rare surname. Measured by absolute frequency, this name is the most popular in the United States, Barbados, and Trinidad and Tobago. Likewise, Jessamy is the forename as well as the last name.