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Patrick was born in either 1886 or 1887. See 1901 census record below showing him as 13 in 1901. I located his baptismal record on the subscription site Roots Ireland and his mother was shown as Catherine McKenzie. The transcription shows December 27 1887 but likely it was 1886 if he was baptized on January 6, 1887.
Name:Patrick NearyDate of Birth:27-Dec-1887
Date of Baptism:06-Jan-1887Address:CloonagunParish/District:KILMOREMOY/BALLINAGender:MaleCountyMAYO
Father:Thomas NearyMother:Catherine McKenzieOccupation:
Sponsor 1 /
Informant 1:James Igoe Sponsor 2 /
Informant 2:Mary Gillespie
I also found a transcription of the 1867 marriage record. The image of the civil record is not yet available on the free site www.irishgenealogy.ie but probably in the next 30 days, it will be online.
In any event, they married February 2,1867. Thomas was 2 and Catherine was 20. Her surname was transcribed as McEnzy. Thomas' father was Thady and Catherine's father was Pat.
Let me know if you have any questions.