Thanks for the comments; let me try and clear up my mess.
(a). First the facts of my Anne McGough: She was born in September 1848 and the baptism record is shown in Aglish RC Parish September 10 1848. She was born to Patrick McGough (b abt 1818) and Anne Ronane (b abt 1820). Patrick and Anne had their first child in 1840, and they lived in Mt Gordon; all birth records for their four children are shown as baptized in Aglish RC parish. The grandson of Patrick McGough and Anne Ronane (Peter) McGough actually lived in the home in 1901 and 1911. All other parents, children and grandchildren had moved-on (or died) by 1901.
(b). It is not clear what happened to two of the children born to Anne Ronane and Pat McGough (there names were Anne b 1848 and James b 1853). I did find the marriage record and census records for Anne McGough married to Robert Carney in 1864, but it shows the marriage in Burriscarra RC parish. The address for Anne is listed as Dearleash West (possibly Devleash West?), but that location does seem a bit far from Mt Gordon. The 1901 census shows Anne’s age as 52 and the 1911 census shows her age as 67. The census in 1911 shows they were married abt 1863. The census shows they lived in Forfield, or Gowel (Aghagower North, Mayo).
My research shows three Ann McGoughs born in South Mayo between 1845 and 1850, and none had a father named Mick. Their names began with initials A, P, and J.
I have been trying to show that (a) & (b) above are the same Anne, but I guess without the original records, transcript errors will block my progress.