My head is ssssswwwimmmmiiinggg with all this and I feel I cannot possibly add to this particular conversation. FWIW, and maybe just to feel I'm still part of this effort, I'm going to go over basics:
James Francis Burke and Jessie Sophia Sutherland were married at the parish church in Clontarf April 20 1850. The record shows both as "of this (UCI) Parish", so it appears they were both residents of Clontarf. No other definitive record to show them arriving or living there.
A few months later, they sail from Dublin to Liverpool to Philadelphia, arriving on October 3rd aboard the Bark Falcon. Went immediately to Cincinnati.
Birthdates of children that I know of
(might have been a Francis born Dec. 2, 1851).
1855, OCT. 5TH MARY HELEN BURKE
1858 ALICE BURKE, (my great grandmother's mother)
1861, AUG 29 or 27 JOHN JAMES BURKE
1862 JOHN CHARLES BURKE
That's incredible news that the St. Xavier archive is now online. Would love to search it.