Between 1848 and 1864 i could find men named Martin Durcan/Durkan/ married women with names Mary Walsh, Catherine Durcan, Ciscilia Colman, Mgt. Jordan, Nancy Durkan, Catherine Muldowny, Mary Foley, Bridget Devanny, Catherina Nolan, Brigid Nary, & Honor Kilbride in Mayo.
Buried in Killeen, there is a Martin Durkan that died 24th April 1893 at age 57 and his wife Annie who died Aug. 1904 at age 60 Years. This may be the one you are referring to.
The transcription also says their daughter Annie died 3rd April 1942 (so she would have beeen born 1872) Aged 70 Years. & her husband Jim McDonnell died 14th July 1938 at age 71
I can't find reference to the daughter Annie's birth around 1872 to see if I could find her siblings.
I think Bridget was born 1964 based on her death record showing age 51 in 1915 and 1901 & 1911 census info. However the Marriage record of Bridget to William Malley Feb 22 1883 said she was 24.
I checked for a marriage of Patrick Durkin 1900 in Mayo just in case they were married there but nothing there either. He did name his first son born Sept 1900 Martin F.
Who are the other births to Martin D and Ann Stanton.