The 1806 baptismal record for Michael Doyle in Borris shows his mother was Elizabeth. The subscription site Roots Ireland has Lieghlinbridge RC records back to 1783 but when I searched for a Daniel Doyle marriage to a Fitzgerald, no record came up. Likely they married in a different parish.
Name:Michael DoyleDate of Birth:
Date of Baptism:07-Sep-1806Address:BorrisParish/District:BORRISGender:CountyCo. Carlow
Father:Daniel DoyleMother:Elizabeth Not RecordedOccupation:
Sponsor 1 /
Informant 1:Luke KeefeSponsor 2 /
Informant 2:Nelly Murry