To Polly19
My grandmother was Margaret May (Cunningham), and her sister was Kate. I believe we have the same people in common on your post. I know her mother's last name was McNally and understand my grandmother was born out of wedlock. Father was James Cunningham, which is why she was raised by Patrick and Catherine Cunningham in Newcastle, County Down, Ireland. She was in contact most of her life with Kate, but I have little knowledge of Kate other than her married name may have been Green (?).
What information do you have of Maria McNally? I know there was a McNally family in the Newcastle, Ireland area. I have a DNA link to the McNally's via a Mary Burns. Burns was the maiden name of my great grandmother Catherine Burns Cunningham.