The free site www.irishgenealogy.ie has Co. Kerry church records. I located the baptismal record for Michael and you had the correct names for the parents. The Ballylongford RC parish records have a big gap from 1838-1869 https://registers.nli.ie/parishes/0654 which may explain why you can't locate the marriage record if the marriage occurred. The records for Thomas and William are also on the site. I also see a baptismal record for a brother Malachy baptized in 1835.
Area - KERRY (RC) , Parish/Church/Congregation - BALLYLONGFORD
Baptism of MICHAEL BAMBERY of BALLYLONGFORD on 22 September 1836
NameMICHAEL BAMBERYDate of Birth22 September 1836 (BASED ON OTHER DATE INFORMATION)AddressBALLYLONGFORDFatherGEORGE BAMBERYMotherJOHANNA HENNESSY
Sponsor 1JOHN WALSHSponsor 2JOHANNA FEIGHPriestREV.D.MCCARTHY