Where does “Cooköarna” come from?

Cooköarna (Swedish) comes from Swedish ö, from Old Swedish ø, from Old Norse ey, from Proto-Norse *ᚨᚢᛃᚢ, from Proto-Germanic awjō, from Proto-Germanic agwjō, from Proto-Indo-European h₂ékʷeh₂ — water.

Ancestry of “Cooköarna”, step by step

StepLanguageWordMeaning
1Swedishöisland
2Old Swedishøa letter of the Old Swedish alphabet, written in the Latin script
3Old Norseeyalways, ever; island
4Proto-Norse*ᚨᚢᛃᚢ—
5Proto-Germanicawjōfloodplain; meadow; island
6Proto-Germanicagwjō—
7Proto-Indo-Europeanh₂ékʷeh₂water
Every word from Proto-Indo-European h₂ékʷeh₂ →Every word from Proto-Germanic agwjō →Every word from Proto-Germanic awjō →