Parish Death/Burial records tend to be very basic - often just just name and age. Do you know the family religion ?
RC records for the parish of Kill go back to 1813, but dont include death/burials. Church of Ireland records for the parish go back to the same timeframe - 1814 for baptism, 1820 for marriages and 1814 for deaths.
It might be worth trying newspapers to see if anything is mentioned, especially as going by the address, the family sound quite prominent. I dont know what papers were published in the area in the 1860 (and survive), but it might be worth trying Freeman's Journal of Dublin, as this covers 'society' BMD notices from all over Ireland. I believe this is available online on a British Library or Gale collection ?
Shane