Pity the marriage is not on the IrishGenealogy website - RootsIreland only have transcripts rather than images.
Usually RC marriage records mention in Latin if the either or both parents are deceased - sometimes with an abbreviation like 'Mort.' On the city records I've seen a place of residence is only mentioned if either or both is living.
I've had a look at directories from 1881 and 1870 - and no sign of any Deegan bakeries in Wexford town or New Ross. I also checked Enniscorthy and Gorey.
Shane.