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Family name Ásrún (Ásrún ) , all around the world, is an extremely rare cognomen. Much more frequently, Ásrún is the forename as well as the last name.
Ösp, Jónsdóttir, Sveinsdóttir, Ísleifsdóttir, Reynisdóttir, Jóhannesdóttir, Jóhannsdóttir, Ágústsdóttir, Kristinsdóttir, and Kristjánsdóttir