Joseph:
Welcome to Ireland Reaching Out!
RC records for Crossmolina parish do not start until August 1831 for baptisms. I did check Roots Ireland for 1822-1932 in Mayo and got no record.
Did Bryan have younger siblings? Maybe you can review the register for the 1830s and see if you see Corrigan baptisms which might give you leads on his parents names. http://registers.nli.ie/parishes/0745
Roger McDonnell