He had married Sarah, second daughter of John Bodvel of Bodville Castle, North Wales and his wife Anne Russell, with whom he had two sons.
The marriage displeased her father, whose consent had not been asked, and led him to disinherit his daughter in favour of a distant cousin.
The Robartes family eventually regained the inheritance, but only after protracted litigation, which is described by Samuel Pepys in his famous Diary.
He was succeeded by his eldest son, Charles (1660–1723), to whom the title of Earl of Radnor later descended from Robert's father, and who was mentioned by Jonathan Swift in his Journal to Stella.
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