Thank you, Roger, for your suggestion!
To begin with, the direct line Tunney/Tunny ancestors who migrated to the US settled in the Pittsburgh, Pennsylvania area. Paternal great-grandfather who emigrated is James Leo Tunney (Sr.), who was born in 1860 to Patrick Tunny (born 4 Feb 1825 in Kilconduff/Curryane to John Tunny and Anne Groark) and Anne McNicholas (born ca. 1831). Patrick and Anne were married 22 Jan 1854 in Meelick & Kilconduff parish. In addition to James Leo, their children were Thomas, Mary, Bridget Agnes, Anne, Catherine and Martin.
Just to complicate my research further, James Leo got married in Allegheny City (later part of Pittsburgh) on 13 Apr 1884 to a woman named Mary Ann (b. 21 Dec 1870 in County Mayo) whose maiden name was ALSO Tunney! Mary Ann's parents were James Tunney and Bridget Peyton (married 12 Feb 1858 in Kilbeagh/Charlestown). Bridget Peyton's parents were James Peyton and Julia Gallagher and she had a sister, Ellen, who married James Lydon. In addition to Mary Ann, James' and Bridget's other children were Patrick, Mary, Thomas, Bridget/Delia (also emigrated to Pittsburgh), Michael, James, Ellen and Edward.
Should anyone want to know, I would be pleased to provide further details on the siblings of James Leo Tunney and his wife Mary Ann Tunney, as well as their children in the United States. I can also provide information on the children of James Lydon and Ellen Peyton.
Thank you for reading this, and I hope to hear from anyone who finds any of these names familiar.
All the best,
Kathleen Tunney