Peter Patrick born 1854 Co. Kildare father John
Patrick 6 in 1853: Kilkenny, Offaly, Westmeath, Cork
I note you write born 1853 but off to Australia in 1841?typo! That would change the search!
The above birth records come from a county genealogy Foundation with bmd's from all but six counties in Ireland, Clare being one of the six counties that is not a member.
Griffith Valuations serve as a census substitute
there were only two John Hennessey's in Kildare in 1852, these are an example of what can be found:
John Hennessey, Parish of Castledermot, Townland Abbeyland
tenant of Thomas Farrell #4 house and forge & garden 0 acres.1 rood.8perches
John Hennessy, Parish of Churchtown, Shruleen Lane, Townparks,tenant of Thomas Hearn #2 house and yard 0 land.
In Kilkenny there are 21 John Hennesey's and in Clare 15.www.askaboutireland.ie