Hi warren,DID A LITTLE more digging on the name.
Deboe was originally a french name DE BOW. It was varied from deboo,debo,deboe to debough.
I think possibly to hide the french factor,There were several ways that the name changed to make it sound more IRISH.
Its interesting the fact ,Bridget used the name Deboe .AS liz said it could have been a mistranscription as Bridget tried to change the name or listed the children in a different name as Donoghue.She most probably was unable to read or write,so would not have known the difference.
As you will have seen The name Deboe is mainly found in Kildare or Westmeath.
She must have arrived just after the Famine time.So it may be difficult to trace family in Ireland.Registrations for that period do exist but via the Churches.
I suppose eventually a database will hold most of these people who Died.
But some they may never find.
The Irish Family History Foundation ,hold the records i added in a previous message and some in the IGI.
There was no record for Bridget ,Thomas or Julie.under Deboe.
So yes i agree that you should look for Donohoe or Donoghue.
Mike