" The manor or lordship of Woolmore was among the properties late of Amesbury Priory which Sir Thomas Seymour had licence in 1541 to alienate to Henry Brouncker." 
"In 1548 Henry Brouncker took the manor (of Canonfold) and parsonage on a ninety-nine year lease." 
Henry was recorded in the visitations of Wiltshire in 1565 and 1623. The 1565 visitation records that Henry first married Elizabeth Braybrooke, daughter of James Braybrooke of Abingdon, Berkshire. They had two children, Jone and Elizabeth. Henry subsequently married Ursula Yate, daughter of John Yate of Lyford, Berkshire and his wife, Alice Hyde. They had five children: William, Henry, Suzan, Ann and Ellinore. 
Henry is noted in the will of his brother in law, John Smythe, of Corsham, Wiltshire, in 1538.
Henry Brouncker of Melksham is recorded as the Sheriff of Wiltshire for 1558.
↑ Wiltshire Visitation Pedigrees 1623. With additional pedigrees and arms collected by Thomas Lyte of Lyte's Cary, Co. Somerset 1628. The Publications of the Harleian Society. Vol LV and LVI. Edited by GD Squibb. 1954.
↑ Will of John Smyth. Clothier of Corsham. 1538. PROB 11/27/357. National Archives.
Brouncker-3 and Brunker-1 appear to represent the same person because: there are various surname spellings for this family including Brunker/Bruncker, Brounker/Brouncker. The visitation of 1565 is probably the best source of information on Henry's immediate family members. Regards.