Only the 1901 and 1911 Ireland censuses survive intact.
There are occasional finds of parts of earlier censuses, but they were mostly destroyed.
His birth is before Civil Registration, so you are dependent on Parish Registers.
And to find them,you need to know where he was born (parish, if not actual townland) and his religious denomination.
Passenger records from the UK (Ireland was then part of the UK) only exist from 1890.