It is rare but Kina is used as a name in Sweden. Kina is also the word for China. It is pronounced both like sheena and k-eena (hard K). I tried to find out more about its origin and meaning but I had no luck. I doubt there's any connection to the country though.
* Ellen * Astrid * Eira * August * Emmanuel * Isidore Hey you! Out there in the cold, getting lonely, getting old, can you hear me?