He left college in 1855, on his father's death, to manage the family's copper smelting and rolling works and colliery at Port Talbot.
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Liberalism in West Cornwall: The 1868 Election Papers of A Pendarves Vivian MP edited and introduced by Edwin Jaggard; Devon & Cornwall Record Society, New Series Volume 42, 2000 ISBN 0-901853-42-9
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Vivian was a county councillor for Glamorgan from 1889 to 1898, He was High Sheriff of Cornwall in 1889 and was awarded the CB in 1894.
His brothers were Henry Vivian (b. 1821), William Graham Vivian (b. 1827) and Arthur Vivian (b. 1834) (who became industrialists and politicians).
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