Checking Margaret's cemetery plot is a good idea, I hadn't thought of that.
Margaret passed on Dec 25th, 1946, roughly 33 years after her husband Patrick.
I recently discovered that my Great-Uncle Martin had more than one spouse, and more than one child, something that was I was never told about, though my mother did know he had more than one wife, but she seemed reluctant to discuss what she knew further.
Another nail in the coffin for the Annie story, Anne was born in 1906, and died at 3, the story took place in 1912.
The most likely source of info on Patrick J. Connell's death would be Church of the Sacred Heart of Jesus, where Patrick's last child, my grandfather, was baptized 2 years before he died. It's the last official document with his name.