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In case you were not aware, the free site www.irishgenealogy.ie has Co. Kerry church records up to 1880. I did find two records. Richard Gregory was actually born in 1844. See below. I also found the 1806 record for John Walsh. I did not find the record for Patrick Walsh but there are baptismal reocrds for five of his siblings.
Area - KERRY (RC) , Parish/Church/Congregation - LIXNAW
Baptism of RICHARD GREGORY of CLOHANE on 9 April 1844
NameRICHARD GREGORYDate of Birth9 April 1844 (BASED ON OTHER DATE INFORMATION)AddressCLOHANEFatherGEORGE GREGORYMotherELLEN SHANAHAN
Sponsor 1JOHN BUCKLEYSponsor 2BRIDGET DILLANPriestNR
Area - KERRY (RC) , Parish/Church/Congregation - LISTOWEL
Baptism of JOHN WALSH of NR on 10 May 1806
NameJOHN WALSHDate of Birth10 May 1806 (BASED ON OTHER DATE INFORMATION)AddressNRFatherPATRICK WALSHMotherCATHERINE KENNELLY
Sponsor 1MICHAEL WALSHSponsor 1 AddressNRSponsor 2MARY STACK