Horgan (possibly Horrigan?) & Callaghan

My husband's 3x great grandmother was believed to be born in County Cork around 1843.  Here are her details:

Honora "Nora" Horgan

1843–1929

BIRTH 1843 • County Cork, Ireland

DEATH 24 OCT 1929 • York, Ontario, Canada

Honora married Henry Harrison, likely in England.  Henry was in the military and he and Nora spent time stationed at the Curragh Camp in County Kildare. Thanks to a response to my post in the Kildare message board, I now have a few records that indicate Nora's maiden name was  "Horgan", her marriage records and the birth record of her daughter Margaret in England.  I'm in the process of following up with those hints.   I've found DNA matches with Ancesters in Cork with that surname as well which is encouraging.  The clues, including family stories, all seem to point to Cork as her place of birth.  

Nora's death certificate in Canada states that her parents were "Cornelius Horrigan" and "Nora Callaghan", Nora likely short for Honora.  In my research with trees for DNA matches in this family group there appears to be several "Horgans"  marrying into "Callaghan" families in Cork.  Helpful indicator that these families were known to each other but not helpful trying to identify who belongs to whom!  In records from Cork, some birth records appear to be in Latin and the names are modified as such, and the handwriting is terrible, which is complicating matters.  I found one record for a "Demitri Horgan" and "Margaret Callaghan" (the record has the mother's name transcribed a lttle differently than the original.  The record says McAuliff but the original looks like Callaghan).  Not sure about all of the ways in which they ascribed Latin spellings to Irish names. 

It would also be great to find a marriage record between Nora's parents Cornelius and Nora, I remain hopeful but skeptical.

I also find it interesting that she married in England.  I assume she may have emigrated to England to find work and met her husband Henry there, who was a British soldier.  I tried to find travel records to no avail.  I am looking to find military records to see if I can obtain more info about the family.

I would appreciate any assitance in finding a record for Nora's birth or some info about naming conventions to help in my own search.  I feel so close but yet so far...