Frederick William GLEESON married Catherine Eva CORLEY in Western Australia in 1902. Ref: 1902/1571. AS the records that I have go only to 1905 I did not find any births up to that date.
The best way to obtain parent names is by getting a copy of the marriage certificate which should include that information. There was not any births of a Frederick GLEESON in W.A. so possibly born overseas or in another State.
Ther were also no births in W.A. of CORLEY or CARLEY
Hope that this is of some help Good luck Regards Gordon