Crossword Genius

All family members at home in Scots island? (7)

Ross

I believe the answer is:

okinawa

I'm a little stuck... Click here to teach me more about this clue!

'island?' is the definition.
(Okinawa is an example)

'all family members at home in scots' is the wordplay.
I cannot really understand how this works, but
'family' could be 'kin' (synonyms) and 'kin' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for okinawa that I've seen before include "Region of southern Japan, scene of fierce fighting in 1945" , "Japanese city" , "Campaign in the closing days of World War II in the Pacific" , "WW2 campaign" , "coral island" .)

I've seen this clue in The Sun, The Telegraph and The Times.
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