Jean, who played Hilda Ogden in Corrie, was fiercely protective of her personal life and had told family of her wishes for a private ceremony.
The actress never married but is survived by her older brother, Kenneth Hodgkinson, 91, and his two daughters, Sonia Hearld, 64, and Valerie Thewlis, 60.
Mrs Hearld said: “In accordance with Jean’s wishes a small private funeral has been arranged and we ask that members of the press and public respect her privacy and remember her in their own way at this sad time.”
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