Sir Richard Myddelton, 3rd Baronet (23 March 1655 – 29 April 1716), of Chirk Castle, Denbighshire, was a Welsh landowner and Tory politician who sat in the House of Commons from 1685 to 1716. Myddelton was the fourth son of Sir Thomas Myddelton, 1st Baronet of Chirk Castle and his first wife Mary Cholmondley, daughter of Thomas Cholmondley of Vale Royal, Cheshire. He matriculated at Brasenose College, Oxford in 1670 and then travelled abroad. He succeeded to the baronetcy of Chirke in the County of Denbigh on the death of his brother Sir Thomas Myddelton, 2nd Baronet in 1684. On 19 April 1686, he married Frances Whitmore widow of William Whitmore of Balmes. She was one of the Hampton Court Beauties and was the daughter of Sir Thomas Whitmore of Bridgnorth and his wife Hon. Frances Brooke.