When you look at the CARRIGY family baptisms in Coole Parish, there are a few sponsors named MURTAGH/MURTHA
LINK to Parish Records
Jul 23 1882; Patrick Joseph; Sponsors: Dermod CARRIGY & Mary FAGAN
Aug 14 1883; Brigid Mary; Sponsors: Brian RODEN
Jan 16 1885; Bernard; Sponsors: Edward SMYTH &
Julia MURTHAJul 25 1886; Mary Anne; Sponsors: Edward & Bridget FARRELLY
Jul 01 1888; Mathew; Sponsors:
William MURTAGH & Anne FAGAN
Jun 08 1890; Catherine; Sponsors: John REILLY &
Elizabeth MURTAGHJan 24 1892; John; Sponsors: James CASSIDY &
Margaret MURTAGHSep 16 1894; Mary Jane; Sponsors: Thomas WARD & Bridget CARIGY
Jun 17 1897; Elizabeth; Sponsors: Bernard CARRIGY & Mary FAGAN
Jul 23 1899 ; Joseph; Sponsors: Bridget CARRIGY & Anne CARRIGY
c1901; Julia - not online
c1904; Thomas Anthony - not online
c1906; Christina - not online
There are several possibilities for Ann's birth in Coole Parish
bap. Dec 12 1859 to Willam & Anne MURTAGH
bap. Apr 11 1860 to Mathew MURTAGH & Elizabeth PLUNKETT
bap. Aug 5 1860 to Darby & Anne MURTAGH
bap. Sep 04 1861 to William MURTAGH & Anne LYNCH
and based on naming patterns in Mount Nugent Parish
bap. Oct 04 1857 to Patrick & Jane SMYTH
noting that there is a sponsor named Edward SMYTH
This may or may not help but at least gives additional names to work with that are most likely related