How wonderful to hear from you. I would love to have a copy of your records.send a note firstname.lastname@example.org and we can discuss details.
I have often seen, but never seen proven with authenticity, that Jeremiah and Mary McGeary are William's parents.I do think it is probable due to the fact that William did also have a brother named Jeremiah....not enough proof though.
I have not had time to do much genealogy for the past year... If you ever do find documentation, please share it.