He was the second son of William Annesley, 1st Viscount Glerawly, and Lady Anne Beresford. He inherited the earldom created for his childless brother through the terms of the special remainder, as well as the viscountcy which had been created for his father, in 1802.
He was the second son of William Annesley, Viscount Glerawly, and Lady Anne Beresford. He succeeded to the title created for his childless brother through a special provision, along with the viscountcy that had been established for his father in 1802.