Seeking info on the Alley Family - Elizabeth (Alley) Hayden, Charles Alley Rector of Castlecomer and Gowran, & ___ Alley (noted as Archbishop of York)

Here is what I know:

• William Hayden of Croan, Cpunty Kilkenny, married (circa 1740) Elizabeth Alley - my 6th great grandparents.
• The obituary for Joseph Hayden, grandson of William & Elizabeth, notes that Elizabeth was: daughter of the Rev. Charles Ally, rector of Gowran and Castlecomer, in that county, and grand-daughter of the most Rev. Dr. Ally, Archbishop of York.
• The History of Ireland by John D'Alton notes that Elizabeth was the granddaughter of the Most Rev. Doctor Alley, Archbishop of York, a divine, distinguished during the controversy of the Non-Jurors in William the Third's reign.  [William's reign was from 1689 to 1702]

I have not been able to track source records down for Charles or his father.  I do not find an "Alley" listed in the list of Archbishops of York so question that assertation.

I have seen one source listing her grandfather as Peter Alley.

Any source material on or insights into the Alley family would be most appreciated.

Thanks
- Kurt