Arms: Quarterly, 1st and 4th, Sable, six Swallows, three, two and one, Argent (Arundell); 2nd and 3rd, Sable, on a Chevron, between three Martlets Or, as many Mullets of the field (Monckton). Crests: 1st, On a Chapeau Gules, turned up Ermine, a Swallow Argent (Arundell); 2nd, A Martlet Or (Monckton). Supporters: On either side a Unicorn Ermine crined, armed and unguled Or, each gorged with an Eastern Diadem Or.
The second creation came in the Peerage of Ireland in 1687 in favour of Ulick Bourke. He was made Baron Tyaquin at the same time, also in the Peerage of Ireland. However, both titles became extinct on his early death in 1691.[3]
The third creation came in the Peerage of Ireland in 1692 in favour of the French soldier and diplomat Henry de Massue, Marquis de Ruvigny, who was created Baron Portarlington, also in the Peerage of Ireland, at the same time. He was made Earl of Galway in 1697. However, both titles became extinct on his death in 1720.
The fourth creation came in the Peerage of Ireland in 1727 when John Monckton was made Baron Killard, of the County of Clare, and Viscount Galway. He represented Clitheroe and Pontefract in the British House of Commons and served as Surveyor General of Woods and Forests in England and Wales. His son, the second Viscount, sat as a Member of Parliament for Pontefract and Thirsk. In 1769 he assumed by Royal licence the additional surname of Arundell. His son, the third Viscount, briefly represented Pontefract in Parliament. He was succeeded by his younger brother, the fourth Baron, who also sat for Pontefract as well as for Yorkshire. His son, the fifth Viscount, discontinued the use of the surname of Arundell by Royal licence in 1826 and instead obtained permission for each successive holder of the title and his eldest son to use the surnames Monckton-Arundell while the younger branches of the family should use Monckton only.
He was succeeded by his son, the ninth Viscount. On his early death in 1971, he had no direct male heir. His landownings passed to his daughter Charlotte (the Hon. Mrs Charlotte Townsend of Melbury House). The barony of Monckton of Serlby became extinct while he was succeeded in the Irish titles by his second cousin once removed, the tenth Viscount. He was the grandson of the Hon. Edmund Gambier Monckton, fourth son of the fifth Viscount, and as he was a member of a younger branch of the family he was named only Monckton, in accordance with the rules obtained by the fifth Viscount. However, he adopted by Royal licence the surname Arundell on his succession for himself and for all successive holders of the title. On the death in 1980 of his younger brother, the eleventh Viscount, this line of the family also failed. He was succeeded by his second cousin once removed, the twelfth Viscount, who was born in Canada. In 2017 he was succeeded by his only son, the thirteenth Viscount, present holder of the titles, who is the great-grandson of Marmaduke John Monckton, third son of the Hon. Edmund Gambier Monckton, fourth son of the fifth Viscount. Lord Galway lives in Canada and represented Canada as a rower in the 1984 Summer Olympics.
The heir presumptive is Piers Alastair Carlos Monckton (born 1962), a great-great-great-great grandson of the 1st Viscount.
His heir is his son Oliver George Carlos Monckton (born 1993).