Sorry I can't help much, the address you have is spelled Dominick Street, which is in the city centre.
Don Quay is not correct, perhaps it is Eden Quay? this is also on the river Liffey in the city centre.
Being C.O.I could help your search. try 1911 census and put in this information.
The DED for Lr. Dominick is Rotunda when searching census. if you try this area you may find others living nearby.