 Three of Henry's four elder brothers died young and the fourth one, Sir John Bourchier (d. 1614), who had been knighted on 24 March 1610/11, of the manor of Clare, County Armagh, died on 25 March 1614 having been MP for county Armagh, 1613–14.By 1614, therefore, Henry had inherited in Ireland from both his father and brother over , and then when in 1636 he became 5th Earl of Bath, after it was refused by his cousin William Bourchier (1624-1689) son of Edward Bourchier, 4th Earl of Bath he added the Bourchier seat of Tawstock in Devon and 36 other manors in Devon and Somerset to his name.Henry was knighted on 9 November 1621.