You're welcome Chilis, my family were protestants in the area at the same time and a lot of the men's middle names are either their mother's maiden names or their father's mother's maiden names. Since Elizabeth is a McDonald, maybe John A's mother was a Dixon which would put her birth in the "circa 1800" timeframe, but it might make more sense her mother was a Dixon if the Bradleys weren't in Tullamore.
I have something else that might interest you, the 1901 census of Tullamore. I'm not sure if you've seen it already, quite a few McDonald families and McDonnell which I can list if you like...
Other townlands of Kilbride are also listed, you may know who some of these people are if you have detailed records of the family around the time of John Bradley's death.
I believe the 1911 Census is searchable online at the National Library of Ireland website
BALLARD
McDONALD Michael and Mary, Patrick, Edward, Mary, James, Joseph, Peter, Kathleen, Vincent (ex army)
BALLYCOWAN
McDONALD Catherine, Patrick, Terence, Mary
KILLEIGH
McDONALD James and Elizabeth (sub-postmaster)
LYNALLY GLEBE
McDONALD James and Sarah, Anne, Edward, William Murphy
NEWTOWN
McDONALD James and Mary, William, Bridget
PUTTAGHAN
DIXON Mary, Michael, Patrick, Ellen
And here is the 1854 Griffith's Valuation if you don't have it...
Dixon John Erry Mary Borough Kilbride Offaly
Dixon James Town of Clara Kilbride Offaly
No "MacDonald" but any of these could easily be a mis-spelling as you can see there is a Terence "McDonnell" in Ballycowan here just like the Terence "McDonald" listed above in Ballycowan.
Mc Donnell Bernard Lower Barrack Street,Tullamore
Mc Donnell Bridget Tullamore
Mc Donnell Charles Tullamore Charles Street
Mc Donnell James Clonminch
Mc Donnell Mary Anne High Street,Tullamore
Mc Donnell Mrs. Anne Tullamore Church Street
Mc Donnell Patrick Ballycowan
Mc Donnell Patrick Tullamore Charles Street
Mc Donnell Roger Srah
Mc Donnell Rose Bridge Lane,Tullamore
Mc Donnell Terence Ballycowan
Mc Donnell William River Street,Town of Clara
Bradley Andrew Chapel Street,Tullamore
Bradley John Town of Tullamore (Part of)
Bradly John Tullamore
Just curious, who published your History of Tullamore book? It seems like it would be an interesting read. I have "Exploring Family Origins in Tullamore Town" which has this listed 1901 census and a few commercial directories.
It's good to start the search again fresh after a long break, I've "thrown in the towel" more than a few times. As time goes on, more and more information becomes available through the internet.