https://www.familysearch.org/ark:/61903/1:1:Q27L-32MT
Norah Lawlor b 1853 (estimated) Mountrath Co Laois, married to
William Lawlor b 1850 (estimated) Mountrath Co Laois occupation Tailor,
son Michael Lawlor b 1877 Mountrath Co Laois
Daughter Norah Lawlor b 1876 Mountrath Co Laois
Daughter Sarah Lawlor b 1878 Mountrath Co Laois
Daughter ? N K Lawlor b 1871 Liverpool Lancashire England
England and Wales Census 1881
I found a marraige for William Lawlor and Hannah Clooney on 12/02/1872 in Abbeyleix Co Laois, note various spelling of names and perhaps Norah is actually named Hannah, it was not unusual for children to be named but called or known by a different name.
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_re…
Eileen