 On 13 December 1638 at the age of 50, Henry Bourchier, by now 5th Earl of Bath, married at St Bartholomew the Great, Smithfield (the Mildmay family church), 25-year-old Rachel Fane (1612/13–1680), the fifth daughter of Francis Fane, 1st Earl of Westmorland, by his wife Mary Mildmay (d. 1640), daughter and eventual sole heiress of Sir Anthony Mildmay (d. 1617), of Apethorpe Hall, Northamptonshire.The marriage was childless.Rachel's monument exists in St Peter's Church, Tawstock, in Devon, given by the Diocese of Bath and Wells, a white marble life-size standing female figure by Balthasar Burman, a replica of the statue made in 1671/1672 by his father Thomas Burman of Mary Talbot, Countess of Shrewsbury (1556–1632), which is situated in a niche in the Shrewsbury Tower of Second Court, the building of which she financed, in St John's College, Cambridge.