He was elected as Member of Parliament for both Castlebar and County Mayo in 1761, and chose to sit for the latter.
[4] He was returned to the Irish House of Commons until 1776,[4] when he was elevated to the Peerage of Ireland as Baron Lucan, of Castlebar in the County of Mayo.
[5] As his title enabled him only to take a seat in the Irish House of Lords, Bingham was not restricted from entering the British House of Commons for Northampton in 1782, representing it until two years later.
[6] In 1795, Bingham was further ennobled in the Peerage of Ireland as Earl of Lucan, of Castlebar in the County of Mayo.
[7] On 25 August 1760, he married Margaret Smith, daughter of Sir James Smith, at Bath, Somerset, and by her he had four daughters and a son,[2] among which: Lord Lucan died, aged 63, at Charles Street, London, and was succeeded in his titles by his only son Richard.