Edward was a mariner/seamen. His death certificate states he was born in Ireland. We also know he hauled tea from Ireland to England/England to Ireland etc.
Edward and family are in the English 1871 & 1881 Census, and in the New Jersey Census after that. He had daughters Margaret, Catherine, & Rosina here in the US. His two sons, Edward & Denis are not known to have come to the US with the family. Why we don't know?
Who were Margaret's parent? Have you checked her death and two marriage records for that information? Any siblings?And how did she get from New Jersey to Chicago? Let me know if you think there is a connection?