I’ve read about this, and there just a handful, if that. Three or four only.
This might be interesting to some:
http://www.freerepublic.com/focus/bloggers/2271893/posts?page=160
See 154 posted on Thursday, June 18, 2009 7:23:43 AM by Non-Sequitur.
Four were born Ireland alone: Pierce Butler, South Carolina; James McHenry, Maryland; William Paterson, New Jersey; Thomas Fitzsimons, Pennsylvania.
Plus that bastard Hamiliton (literally) was born in the West Indies. James Wilson, Pennsylvania, was born in Scotland. I believe that is 6, out of the total of 40 or 15%. Hardly just a "handfull".
Source National Archives