Hi I am related to a Coffee/Coffey family who emigrated from Ireland to Canada/New York about the time yours did. As there were so few Coffee's in New York State at the time there is some likelihood they were connected.
Do you know anything more about your Michael Coffee?? For example where in Ireland he was born; any contemporary relatives names; the names of his parents.
My family "starts" with Dennis & Catherine O'Connor Coffee in Ireland around 1790 and they had 3 sons that I know of Charles, Dennis & Patrick all of whom migrated to the US (NY) through Canada.
Anyway here's hoping there is a connection because that side of the family basically is dead-ended in the US.