There are lots of inconsistencies in the Wikitree but also lots of valuable information, along with family photos and stories. I can still remember Annie Conley and her daughter Josie coming to our house and especially Josie talking about her wee daughter Karen who died of leukemia when she was only five. Little did I know then that about 15 years later my youngest daughter would also be diagnosed with a blood cancer but thankfully medical treatments have advanced greatly over the years.
I don't think illegitimacy would have bothered the family that much. Depending who the father was it might have been quite widely known and sometimes the child would have used their father's surname or would be noted in birth or baptismal records. Also, Martha would have been in her 30s by the time Kathleen and James were born and those two were not the first illegitimate ones in the family.
Will probably leave Thomas Conley's family until last because he had so many children (11, I think).
There are a few births I can't find still and some thing I want to re-check but here's a bit more ...