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I found an 1861 record in the Turlough/Parke RC records which appears to be your ancestor. See transcription below from Roots Ireland. The civil parish would be Turlough.
There were four siblings that I could locate: Mary in 1859, Ann in 1863, Bridget in 1865 and Anthony in 1870. The first four records showed the mother's surname as Hughes but the record for Anthony showed Bridget Connell.
The 1901 census for Muckanagh showed Anthony and his sister Bridget so perhaps the parents were deceased.
Name:Nicholas HughesDate of Birth:
Date of Baptism:03-Nov-1861Address:MucknaghParish/District:TURLOUGH/PARKEGender:MaleCountyMAYO
Father:Pat HughesMother:Bridget HughesOccupation:
Sponsor 1 /
Informant 1:John RocheSponsor 2 /
Informant 2:Mary Roche