Cognomen Eyrún (Eyrún 
) , in all the world, is an extremely rare surname. Much more prevalently, Eyrún is the forename as well as the last name.
Ósk, Sævarsdóttir, Björnsdóttir, Bjarnadóttir, Gísladóttir, Jóhannsdóttir, Tryggvadóttir, Einarsdóttir, Eiríksdóttir, Eggertsdóttir, Friðgeirsdóttir, Þórðardóttir, Stefánsdóttir, Pétursdóttir, Ragnarsdóttir, Gunnarsdóttir, Guðmundsdóttir, Haraldsdóttir, Sigurðardóttir, Sigurjónsdóttir, Þórsdóttir, Ólafsdóttir, Árnadóttir, Ingþórsdóttir, Elísdóttir, Hansen, Ingadóttir, Skúladóttir, Axelsdóttir, Káradóttir, Pálsdóttir, Gestsdóttir, Jónsdóttir, Kristinsdóttir, Eyþórsdóttir, Helgadóttir, Valsdóttir, Ingvadóttir, Þrastardóttir, Magnúsdóttir, Sigþórsdóttir, Guðnadóttir, Guðjónsdóttir, Eyjólfsdóttir, Hauksdóttir, and Ingibjartsdóttir