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His father, William Harcourt Isham Mackworth (1806—1872), a younger son of Sir Digby Mackworth, the 3rd Baronet, took the additional surname Dolben after he married Frances, the heiress of Sir John English Dolben, the 4th Baronet.
He succeeded his cousin Sir Richard Wynn, 4th Baronet as a baronet in 1674 but did not inherit the Gwydyr Estate, which passed to his predecessor's daughter Mary.