Thanks for the reply and information.
This is the information I have about my paternal grandmother. I reviewed the marriage and baptism records for the diocese of Tuam, Galway (1856-1876).
May 10, 1870 baptism
Bridget Burke of Edmund Burke and Mary McDonagh
Sponsors: John McDonagh and Bridget Scuffle
It's likely that Mary McDonagh also had a sibling named Michael since he was a god parent for Bridget's sister Mary, born 1879.
Bridget came to the US in 1892, settled in Pittsburgh and worked as a 'domestic' until she met and married Joseph O'Kane (born in the 1860's) who was from County Derry. Both died in the US in the late 1920's, early 1930's.