[2] Burdett entered the Irish House of Commons in 1704, sitting for County Carlow to 1713.
[3] On 11 July 1723, Burdett was created a baronet, of Dunmore, in the County of Carlow, with a special remainder to the heirs of his sister Anne, wife of Walter Weldon, who sat also in the Parliament of Ireland.
[4] In 1725, he was appointed Governor of County Carlow, a post he held for the next two years.
[2] He married firstly the twice-widowed Honora Boyle, daughter of Michael Boyle, Lord Chancellor of Ireland and Archbishop of Armagh and his second wife Mary O'Brien, in 1700.
[2] She died ten years later and Burdett remarried Martha Vigors, daughter of Bartholomew Vigors, Bishop of Ferns and Leighlin and Martha Neale, in 1715.