Great posts, thanks. A few random points- you may be under counting the Polish population in NY. Real tough target because of the various carving ups of the state.
Another interesting thing is that the immigrants from Quebec would not have been exclusively French. My grandmother was born in Quebec to newly arrived Irish who made their way to NYC after about 5 years or so.
Trying to do some digging on Ancestry.com myself. Not all of my Irish ancestors came in through Philly. Some were from upstate PA/Lehigh Valley and one of them was even from Virginia! Not sure if the upstate PA ancestors came into NYC and the VA one who knows?? From what I read VA was definitely not a place considered Irish Catholic friendly, in fact I'm thinking some kind of indentured servant may not be out of the question.
I even have a great grandfather I only know the names of his parents, but nothing else. His name was Moore and I'm thinking Irish, but that name was commonly Anglo-Irishized from other Central/Eastern European names. Researching the Irish, or anything else non-Anglo-Germanic, is quite difficult.