Mary Rose McNeil, 73 – who was known in her neighbourhood as Moira – died at the property in Broadcroft Lane, Rothesay, on the Isle of Bute, on Saturday.
Police officers were called out at around 1:30pm on Saturday to reports of a woman seriously injured after an "incident" at her home.
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Hide AdA 39-year-old man has been arrested in connection with the death and was expected to appear at Rothesay Sheriff Court today.