To search Church of Ireland records you would need a more precise location than just 'Cork' - ideally a parish or town name. Cork could mean Cork city or County Cork, a very large number of parishes. Whereas Catholic records are well covered online on various systems, coverage of Protestant records for Cork city & county is very limited, the main source being the transcripts on RootsIreland which cover just parts of North & East County Cork.
If your line lived in areas not currently covered online then research would most likely require a visit to the Representative Church Body in County Dublin, which hold many of the historic registers, some registers are still held by the parishes, and others have been lost.