MBK:
I searched the free site www.irishgenealogy.ie and found a few records.
There was a August 31 1793 marriage record for a Miles Mahoney and Margaret Connor in Killarney.
I located the following baptismal records where the parents were Myles Mahoney and Margaret Connor
October 24 1792 Alexander Mahony Tralee (prior to marriage)
April 27 1803 Florence Mahoney Killarney
January 10 1806 Mary Mahoney Killarney
December 11 1809 Margaret Mahony Tralee
September 8 1811 Bridget Mahony Tralee
So the question is whether these children are all for the same couple
I found a February 13 1831 marriage for a Timothy Quirk and Bridget Mahoney RC parish Annascaul
There were three baptismal records for children of Timothy Quirk and Bridget Mahony all in Annascaul
Thomas Quirk November 27 1831
Mary Quirk April 3 1833
Michael Quirk April 9 1837
I did not see a record for Catherine.
Roger McDonnell