Dear Jane:
Thanks so much for your help and your reply. Sorry for the delay on this end. I was out of town for a funeral.
The Illinois Deaths & Stillbirths Index 1916-1947 lists the place of birth of my great uncle, John B. O'Reilly, as Springfield Ireland. It does not list the county. In addition to County Offaly I believe there is a Springfield in County Westmeath. The same index lists my great grandfather John O'Reilly's place of birth as Springfield Ireland.
My source for my great grandmother Mary Bridget Gilfoyle's association to the seminary is a sampler I have which contains the following information sewn at the bottom: "Mary Gilfoyle's sampler worked at the Misses Goldings Seminary, Galway September 24, 1841." I also have a sampler on which is sewn on the bottom: "Honoria Hurley Castlerea School.
My great grandparents had eleven children. I believe two of them were born in Ireland. I addition to John B. O'Reilly, they had a daughter Maryann, born 1854, who died in Chicago in 1860. I believe they came to the USA in 1856, and that Maryann was born in Ireland, but I don't have any hard information to that effect.
Thanks again, Jane, I appreciate your all of your help.
Joe