Hi Irene,
www.rootsireland.ie/ has two baptism records for Mary Curran (+ surname variants) 1931 + - 5 years:
Name:Mary CurrinDate of Birth:23-Aug-1829
Date of Baptism:24-Aug-1829Address:TempletownParish/District:TempletownGender:FemaleCountyCo. Wexford
Denomination:Roman Catholic
Father:John CurrinMother:Mary ConelyOccupation:Not Recorded
Informant 1:John Nevil Informant 2:Joan Whalen
Name:Mary CorrinDate of Birth:
Date of Baptism:16-Oct-1836Address:
Parish/District:EnniscorthyGender:FemaleCountyCo. Wexford
Denomination:Roman Catholic
Father:Pat CorrinMother:Judy KeysOccupation:
Informant 1:Mick Esmond Informant 2:Catherine Day
IF Mary followed the Irish naming pattern when she named her own children, the second son would be John or Pat & the first daughter would have been Mary or Judy
However, I looked on ancestry.com & the children were Patrick Mary Michael Joanna Margaret Annie & Catherine according several trees
She has Mary's parents as John Curran & Maria Courville but I couldn't find that marriage
I couldn't find the marriage of John & Mary either but did find Pat & Judy:
Date of Marriage:13-Feb-1831
Parish / District:Enniscorthy
County:Co. Wexford
Husband Patt Curran Roman Catholic
WifeName:JudyKeys Roman Catholic
Looks like Pat & Mary may have come to Australia according to ancestry.com so probably not yours - sorry!
There are 32 trees on ancestry which have Mary & Patrick but none has the parish! There is also confusion about her mother's name: Maria Courville / Merle Courlander!
There are no Wexford records in the 1821 or 31 Irish Censuses.
The Tithe Applotments (free at http://titheapplotmentbooks.nationalarchives.ie/) have 11 Currans in Wexford 1825-28 from 6 different parishes: Fethard Killegney Kilpatrick Kilpipe Oldross & Templeladigan. So, IF Mary's father was John & IF one of these is him, you have a choice of Fethard and Kilpipe as the parish Mary came from. There are also 15 Currins but no Johns among them & 10 Currens with 1 John from Killesk.
Sorry I couldn't pinpoint the parish for you Irene
Col