Martin McGarry Born 1858/9 - Roscommon to "Patritii McGarry"

I've searched everywhere I can to find a record of Martin Mcgarry being born to a Patricci. Everybody elses Family Tree has my Martin labelled as Martin McGarry born 1864 (not to Patritti). But this is wrong, as all the UK Census records for when he moved to Staffordshire has my Martin born in 1858/59. Ive found his and his wife's wedding record and it corresponds to the Census and has a Patritti listed as the father. But to take our family tree back down the correct line. I need to find/confirm Martins birth details and his prents. So I wondered if anyone here had done any further information? I've attached the wedding record and some census records.

Many thanks!