My O'Rourke ancestors emigrated from Ireland ( probably Tipperary) to Australia. So many of the first names you mention are familiar but I don't know enough about a connection. My gggrandfather Thomas O'Rourke married Margaret Divan. I don't know much about any of their children except for Cornelius my ggrandfather. Cornelius ( born 1858 Roscrea Tipperary )married Catherine Hanrahan in Maryborough Qld 1879. Cornelius and Catherine had 10 children - Thomas, John, Mary, Ellen, Margaret, Catherine, Johanna, Jane, Teresa and Cornelius. The youngest of their children, Cornelius is my grandfather. My father is Patrick Cornelius. I have been told that Patrick and Cornelius are names repeatedly used within the family. As you also have a Thomas in your family, there may be a link. Dad thinks that most of the o'Rourked emigrated to America when his ancestors came to Australia. Hope you see a connection.