Michele:
It is unfortunate that the marriage record did not show the maiden names of the mothers since the maiden name is the best clue to find baptismal records.
I did not find any records for Mary Anne using Thomas and Honora as the given names of the parents. For Michael Fitzgerald, I made the assumption that he may not have come from Galway.
As you likely know, civil registration of births started in 1864 but we can tell for sure whether Michael was born before 1864 or 1864 or later. I found three possible leads.
There is a Michael Fitzgerald with father Thomas Fitzgerald and mother Margaret Cuskey baptized in St. Mary's Pro-Cathedral in Dublin on October 2 1861.
Roots Ireland had a December 25 1862 baptism in Tramore Co. Waterford with father Thomas Fitzgerald and mother Margaret Flanagan.
Regarding the burial place of Thomas Fitzgerald, I assume he died in France or Belgium and would he be buried in one of those countries?
Roger
Roots Ireland had an October 4 1863 baptism in Monasterevin RC parish in Co. Kildare with father Thomas Fitzgerald and mother Margaret Molloy.