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The baptismal records for Aghagower RC parish start in April 1828. I searched on the subscription site Roots Ireland for Gibbons baptismal records with father John and mother Catherine. I found an 1831 Austin Gibbons record (see below). There were also records for four siblings:Michael 1830 Mary 1832 Honor 1834 John 1835. Looks like the mother was also a Gibbons.
The townland was likely the current day Cordarragh North or Cordarragh South
Not sure what name Jeffrey would have been given at baptism. I assume he was born before April 1828?
Name:Austin GibbonsDate of Birth:
Date of Baptism:20-Sep-1831Address:CurdarraghParish/District:Aghagower RC parishGender:MaleCountyCo. Mayo.
Father:John GibbonsMother:Catherine GibbonsOccupation:
Sponsor 1 /
Informant 1:John MortimerSponsor 2 /
Informant 2:Mary Gibbons