Background
Francis was born in 1641, the son of Sir Robert Throckmorton, 1st Baronet (d1650) by his second wife Mary Smyth, daughter of Sir Francis Smyth (d1629) of Ashby Folville and Queensborough, Leicestershire and Wootton Wawen, Warwickshire, by Anne Markham. His uncle was Charles Smyth, 1st Viscount Carrington.