HI I Am Looking for My Great Grandfather and Gggrandmother of King St Bangor Down Newtownards I Have Census Information from 1901 Mill Row Bangor...

Hugh Hayes 1857 children John 1889, Hugh died as child and William 1897 Mary (Logan/Curran) 1866
They are Church of Ireland. I have mother of Mary as Sarah Curran and a niece Ellen O'Malley living with them.I asked on this site many years ago and someone responded with them being Welsh.
I don't know where this information came from but I think it has no basis.
There is another Hugh with same birth year a lawyer but I don't think any connection.Would be eternally grateful to have conclusive proof of parentage. Thanks in advance Moira