what timeframe are you interested in ?
the following is the entry for the Asylum included in the Killarney section of Slaters Directory of 1894 :
COUNTY LUNATIC ASYLUM.
Resident Medical Superintendent - Laurence T. Griffin L.R.C.P.L.,
L.B.C.S.I
Assistant Medical Officer, Edward AV. Griffin M.D
Assisting Physician, George Hickson L.R.C.P.Edin
Apothecary, John J. Savell
Chaplains—Church of Ireland, Ven. Archdeacon George R. Wynne D.D.
Catholic, Rev. Daniel O'Keeffe
Matron, Emma Creagh
Clerk, Michael W. Mahony
I can have a look at earlier years if you wish..
Shane