It looks as if it was near Unicorn Terrace and the old Colewort Barracks, so yes, Portsea rather than St Thomas. I would expect a burial in Mile End Cemetery or Kingston Cemetery. At that date, death registration would either be under military deaths or Portse Island RD.
This is a fascinating thread: I hadn't realised that the QA started life as a military hospital, though that makes perfect sense, given its location. And there's the Haslar at Gosport as well.
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The chestnuts cast their flambeaux
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