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Cognomen Arnbjörg (Arnbjörg ) , all around the world, is an extremely rare surname. Much more prevalently, Arnbjörg is the forename as well as the last name.
Valsdóttir, Hjaltadóttir, Williams, Konráðsdóttir, Jóhannsdóttir, Þórðardóttir, Stefánsdóttir, Baldvinsdóttir, and Ásgeirsdóttir