Griffith Valuation from 1840s-1860's is a census substitute and also has a place name function.
The spelling above is unknown. One letter different can make a difference when looking for spellings and on top of that through time many places changed their spellings. Often the townland where people lived is used and often can be described with the added Upper or Lower, East or West.
There is an on line baptism, marriage and sometimes death records for most counties, this can be searched with a little of a name and year, then each added piece of information will give you
a baptism. I would you suggest you try Matilda, child of Mathew Wallace and wife
Margaret Carr and a estimated birth year. Mathew is reasonable unusual as is Matilda so if a record exists you should find it.
www.rootsireland.ieYou will get parish/place and mother's maiden name which you have already. A marriage would give you both of the couples, father's name, place/parish. Generally held in the wife's parish if different from husbands.
Their going to the US in the 1840's will probably leave them off Griffith Valuation, even once you know the county and the parish.
www.askaboutireland.ie 1847-1864
Tithe Applotments: 1823-1837 has records for most counties, although it is not complete,
some Northern Ireland counties are missing. They are available however, for personal research at the institution in which they are houses. Northern Ireland PRONI, Republic of Ireland at the
National Archives in Dublin.
The name Daniel (if the oldest son) could perhaps be his grandfather's name as the Irish usually as naming stuck to a pattern.
1840's would be the time of the Great Famine and people fled in enormous numbers due to
disease, hunger and often as the landowner was evicting tenants in the same time frame.
It was the british policies that 1M people died of starvation in a land of plenty which was shipped even in the 10+ years of Ireland's worst famine to England. Lots of book available.
Shaw could possibly be Mathew's mother's maiden name.
Without a county pretty much unable to cross reference the surnames. All however, sound anglo-irish rather than catholic irish.
Annette Code
no relation