 In 1614 he was elected a Member for Aldeburgh and was elected again for Aldeburgh in 1621.Glemham married Lady Anne Sackville, a daughter of Thomas Sackville, 1st Earl of Dorset, by 1589.Lady Anne and her sister Mary Nevill and friends including Elizabeth Grey had a high reputation for learning, which John Chamberlain satirically suggested was due to their admirers.