According to Eliott-Drake, he was the eldest son of Andrew Pollexfen of Stancombe Dawney in the parish of Sherford, Devon, by his wife Joan Woollcombe, a daughter of John Woollcombe of Pitton in the parish of Yealmpton in Devon. Henry was the elder brother of John Pollexfen, MP, the political economist. This parentage differs from that given in the pedigree in the Heraldic Visitations of Devon, which therefore appears unreliable.
Career
He entered Inner Temple in 1652, was called to the bar in 1658 and by 1662 he was pleading before the high courts at Westminster Hall. In 1674 he became a bencher at Inner Temple, and was the leading practitioner on the western circuit, frequently pleading at the King's Bench. In 1676 he defended Stockbridge, Hampshire on a Quo warranto charge, which he lost. He frequently acted as counsel in various politically charged cases, and regularly lost; clients included the lords involved in the Popish Plot, the Earl of Danby and as one of many counsel for Edward Fitzharris, Stephen College and Algernon Sidney, all of whom were later executed. Along with Sir George Treby and Sir Francis Winnington he defended London on a second Quo warranto charge in 1683, arguing that Corporations could not be charged for the wrongdoing of individuals. He lost, and in 1684 was asked to take a similar case for Berwick-upon-Tweed, this time advising surrender. In 1688 he was made a justice, and advised the House of Lords on the legality of Quo warranto seizures. After William III arrived in 1688 he was a close advisor, and helped persuade him to declare himself King, arguing that the throne was vacant due to James fleeing, saying James ‘went away because the terror of his own conscience frighted him and he durst stay no longer’. William did not make himself King according to Pollexfen's advice, but in reward for his services Pollexfen was knighted and made Attorney General for England and Wales in March, and appointed Chief Justice of the Common Pleas on 6 May 1689. In late 1689 he was elected Member of Parliament representing Exeter at the 1689 Convention Parliament, where William was officially offered the crown.
Marriage and children
In 1664, aged 32, he married Mary Duncombe, a daughter of George Duncombe of Weston in the parish of Albury and of Shalford in Surrey, and sister of Sir Francis Duncombe, 1st Baronet of Tangley Park in Surrey, by whom he had issue one son and four daughters as follows:
Henry Pollexfen, of Nutwell, son and heir, who married Gertrude Drake, a daughter of Sir Francis Drake, 3rd Baronet of Buckland Monachorum in Devon, by his first wife Dorothy Bampfylde, a daughter of Sir John Bampfylde, 1st Baronet of Poltimore, Devon. He died childless, leaving his four sisters as his co-heiresses. Nutwell eventually passed to the Drake family, through his sister Elizabeth Pollexfen.
Mary Pollexfen, who married John Buller of Keverell in Cornwall, a Member of Parliament for Lostwithiel in Cornwall in 1701, only son and heir apparent of John Buller, MP, of Morval and of Shillingham near Saltash, both in Cornwall.