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I looked on the free site www.irishgenealogy.ie and located two Timothy Wholey (or variant) baptismal records in 1819. Do either of these records pertain to your ancestor?
Area - CORK & ROSS (RC) , Parish/Church/Congregation - DUNMANWAY
Baptism of TIMOTHY HOOLY of TOME on 14 October 1819
NameTIMOTHY HOOLYDate of BirthN/R N/R N/RAddressTOMEFatherJAMES HOOLYMotherELIZABT MAHONY
Sponsor 1MICHL MAHONYSponsor 2ELLEN MCCARTHYRecorded Parochial AreaDUNMANWAY
Area - CORK & ROSS (RC) , Parish/Church/Congregation - ENNISKEANE
Baptism of TIMY WHOLY of N/R on 8 November 1819
NameTIMY WHOLYDate of BirthN/R N/R N/RAddressN/RFatherDENS WHOLYMotherJANE MAHONY
Further details in the record
Child DenominationRCSponsor 1PATK CROWLYSponsor 2CATE WHOLYRecorded Diocesan AreaCORK & ROSSRecorded Parochial AreaENNISKEANE