Found the Heraty family in the 1901 census in Dooncastle:
http://www.census.nationalarchives.ie/pages/1901/Mayo/Clogher/Dooncastl…
and in 1911:
http://www.census.nationalarchives.ie/pages/1911/Mayo/Clogher/Dooncastl…
I found the info from Austin's obituary.
Chicago Tribune (IL) - June 16, 1970
Harrity
Deceased Name: Austin E. Harrity
Austin E. Harrity, beloved husband of the late Ellen, nee Kerrigan; dear father of Catherine Schmalz, Margaret Arends, Anne Cednik, Austin T., Thomas F., Patrick J., Mary Ellen Paulson, the late Edward, and Michael; grandfather of 24; great-grandfather of seven; brother of Michael of Chicago, Catherine Gravin, Bridget Conway, May Malone, all of Ireland, the late Peter, Thomas, Ann Gavin, Jack, Patrick, and Edward. Resting at Thomas J. Cooney Sons Funeral Home, 3552 Southport avenue. Funeral Thursday, 8:45 a.m., to St. Matthias church. Interment All Saints. Native of Doon Castle, Westport, County Mayo, Ireland.
The closest I could come for Ellen Kerrigan is the census is this family. Their townland is not too far from Westport and Castlebar (her obituary.) I think I found her sister's obituary and hers lists this same location name.
http://www.census.nationalarchives.ie/pages/1901/Mayo/Tawnynagry/Derree…
Chicago Tribune (IL) - May 31, 1967
Harrity
Deceased Name: Ellen Harrity, nee Kerrigan
Ellen Harrity, nee Kerrigan, beloved wife of Austin E.; dear mother of Catherine Schmalz, Margaret Arends, Anne Cednik, Austin T., Thomas F., Patrick J., Mary Ellen Paulson, and the late Edward and Michael; grandmother of 22; great-grandmother of three. Resting at Thomas J. Cooney Sons Funeral Home, 3552 Southport avenue. Funeral Thursday, 8:45 a.m., to St. Mathias church. Interment All Saints. Native of Castlebar, County Mayo, Ireland.
Chicago Tribune (IL) - December 16, 1949LALLYDeceased Name: Bridget Lally, nee KerriganBridget Lally, nee Kerrigan, beloved wife of Martin, daughter of the late Michael and Catherine Kerrigan, loving mother of John, Mary O'Malley, Ann Mc-Donnell, the late Martin, and Catherine Lally, loving grandmother of eight, sister of Ellen Harrity, Patrick, and Thomas. Funeral Saturday, 9:30 a.m., from funeral home, 3552 Southport avenue, to St. Andrew's church. Interment Mount Carmel. Native of Derreenascoba, Killawalla, County Mayo, Ireland.
There are several other obituaries for this family on the Tribune Archive. I'm happy to pull for you. Hope this is a start for you.