You would need to trace James Morrisroe and Catharine Noland (possibly Nolan) in all possible U.S. census records to see-
1) when they were born
2) if they were born in Ireland
3) when and where there children were born
this will give you an idea (if they were from Ireland) when they might have arrived in U.S.
then you need to check vital records to see-
1) if any place of birth in Ireland is given
2) if James and Catharine's parents are mentioned, etc.