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The village of Blarney is in the civil parish of Garrycloyne and there is also a townland in that parish called Killowen. The parish of Killowen is way to the west of Blarney and I don't think that parish is involved.
I checked on Roots Ireland because they usually have civil marriage records for Co. Cork but they did not have the Field/Callaghan marriage. I did find the index record for the marriage on another site which is below but you would have to send away to the GRO to get a copy of the record which would show the names of the fathers of the bride and groom. I can provide instructions. The 1852 Griffiths for Garrycloyne does not show any Field records and there are three Callaghan records but none in Killowen. See below. I also checked on Roots for Ellen Field baptismal records. There was an 1844 record in Inniscarra parish and a 1849 record in Aghada parish. The Inniscarra is more likely since that RC parish was just to the west of Blarney. The transcription of that record is below. The civil marriage record is key to knowing her father's name.
Let me know if you have questions.
First name(s)EllenLast nameFieldRegistration year1871Registered Quarter/Year1871Registration districtCorkVolume5Page207
MarriageFinder™Ellen Field married one of these people
John Murphy, John Callaghan, John O'Callaghan, David Helen, Denis CallaghanCounty-
Name:Ellen FieldDate of Birth:
Date of Baptism:10-Dec-1844Address:
Father:Mathew FieldMother:Mary KealeherOccupation:
Sponsor 1 /
Informant 1:Michael FordSponsor 2 /
Informant 2:Mary Sullivan