Yes, I am showing John Lalor, b 1810 (a separate entry shows John Lawlor b 1823), who married Margaret Mooney, had a son John Lawlor in 1843 in Arles, Leinster, Laois (Queens), Ireland. I don't have any other information on the son John such as spouse, marriage or death date or place.
(My family came through another son Michael who emigrated to Canada.)
I am showing John, b 1843, grandfathers are John Lalor born 31 January 1769 in Capard, Laoighis (different spelling for Laois?), Ireland and Michael Moony born 24 May 1770 in Capard, Laoighis, Ireland.
If you get a familysearch.org account you can investigate these further.
Thanks for asking about this as I had hit a dead end searching directly from my line, but going off of a different child opened things up.