This case isn’t that uncommon! Worldwide, two of the most common naming conventions are:
1. Given name + group descriptor (profession, locality, tribe, etc. such as Jim Baker or Joan Rivers)
2. Given name + parent’s given name and gender (such as Dwayne Johnson or Jóhanna Sigurðardóttir)
Iceland is especially fun, as they not only append a parentage name, but alongside -son and -dottir they’ve introduced a gender neutral suffix (-bur), and they don’t want you to make up first names out of the blue!
“[Iceland’s] Personal Names Committee maintains an official register of approved Icelandic given names and governs the introduction of new given names into Icelandic culture.” — https://en.wikipedia.org/wiki/Icelandic_Naming_Committee