In 1761 John Vesey 1st Baron Knapton died. His son Thomas Vesey 1st Viscount Vesci (age 26) succeeded 2nd Baron Knapton, 3rd Baronet Vesey of Abbeyleix.

On 13 Oct 1804 Thomas Vesey 1st Viscount Vesci (age 69) died. His son John Vesey 2nd Viscount Vesci (age 33) succeeded 2nd Viscount Vesci of Abbeyleix in Queen's County, 3rd Baron Knapton, 4th Baronet Vesey of Abbeyleix.

On 19 Oct 1855 John Vesey 2nd Viscount Vesci (age 84) died. His son Thomas Vesey 3rd Viscount Vesci (age 52) succeeded 3rd Viscount Vesci of Abbeyleix in Queen's County, 4th Baron Knapton, 5th Baronet Vesey of Abbeyleix.

On 23 Dec 1875 Thomas Vesey 3rd Viscount Vesci (age 72) died. His son John "Yvo" Vesey 4th Viscount Vesci (age 31) succeeded 4th Viscount Vesci of Abbeyleix in Queen's County, 5th Baron Knapton, 6th Baronet Vesey of Abbeyleix. Evelyn Charteris Viscountess Vesci (age 26) by marriage Viscountess Vesci of Abbeyleix in Queen's County.

On 06 Jul 1903 John "Yvo" Vesey 4th Viscount Vesci (age 59) died without male issue. His nephew Yvo Vesey 5th Viscount Vesey (age 21) succeeded 5th Viscount Vesci of Abbeyleix in Queen's County, 6th Baron Knapton, 7th Baronet Vesey of Abbeyleix.