Amazing indeed.  The birth control pill being prohibited by the church etc.

If  1 million Paddies to the US  in some 150 years multied by 40 then  is it logic to say, that give it another 150 years there will be 1.6 billion Paddies in the US by the year 2150?

Here is what I found on the Net:

 The view of the Irish-American experience is depicted by a traditional song, "Paddy's Lamentation".

Hear me boys, now take my advice,
To America I'll have ye's not be going,
There is nothing here but war, where the murderin' cannons roar,
And I wish I was at home in dear old Dublin.