Glemham’s father was a prominent member of the Suffolk gentry, while his mother was the daughter of lord treasurer Dorset. According to Wood, after finishing his education he ‘betook himself to the German Wars’, but this seems unlikely as his 1613 pass to travel for three years pre-dates the outbreak of the Thirty Years’ War.
Glemham presumably owed his return for Reigate in 1621 to his friendship with Dorset, who was part owner of the manor. He left no trace on the records of the third Jacobean Parliament and is not known to have sought re-election in 1624. In 1625 and 1626 he was returned for Aldeburgh in Suffolk, where his father, a significant local figure, had previously sat.
Glemham failed to pay the 1626-7 Forced Loan, but was excused by the Suffolk commissioners on the grounds that, when the levy was initiated, he was still in London attending his wife in her last illness and that subsequently he had joined Buckingham’s expedition to the Ile de Ré.
In 1641, after serving in both the Bishops’ Wars, Glemham sold his Lincolnshire lands for £15,000, but continued his involvement in a fen-drainage scheme at Sutton.
