Possible Clues:

• British bird admits reading abridged version of Hamlet to an islander living in a place known for its disappearances
• Hamilton local
• ''Thrones''' Lena Headey, by birth
• In territory in December mud annoys
• Hamilton resident
• Bishop unarmed converted islander
• Coming from an island river, silt dumped in Lima perhaps
• "Triangle" resident?
• Islander dividing a number that's odd by 500
• New MD - urbane islander