[3] For this, he was created a baronet, of Monaghan, in Ireland by Queen Anne of Great Britain on 6 May 1708, with a special remainder to his youngest brother Henry.
Thomas Sheridan thought him "an eminent Banker", but Jonathan Swift dismissed him as "a scrupulous puppy" and "a shuffling scoundrel".
Cairnes died at Dublin on 30 October 1732 and his son having predeceased him, was succeeded in the baronetcy according to the special remainder by his brother.
She subsequently remarried, in 1734, to Col. John Murray, who was Member of Parliament for County Monaghan in the early 1740s.
One of the daughters, Elizabeth, married Robert Cuninghame, 1st Baron Rossmore, and another, Harriet, was the mother of Warner Westenra, 2nd Baron Rossmore, who succeeded to his maternal aunt's husband's barony by special remainder.