Information on Birth and Death

Hi Dorene
I'm afraid there are 9 John McLaughlin (+ surname variants) 1807 birth / baptism records on www.rootsireland.ie/(subscription site)
Each is from a different county and none from Mayo.
View Churchh Baptism Laughlin John 1807 Co. Wexford
View Church Baptism Laughlin John 1807 Co. Down
View Church Baptism MacLaughlin John 1807 Co. Dublin
View Church Baptism MacLoughlin John 1807 Co. Carlow
View Church Baptism McLaughlin John 1807 Co. Westmeath
View Church Baptism McLoughlin John 1807 Co. Wicklow
View Church Baptism McLoughlin John 1807 Co. Roscommon
View Church Baptism McLoughlin John 1807 Co. Armagh
View Church Baptism McLoughlin John 1807 Co. Longford

There are 5 Catherine Rowans but none is 1823:
Action Source Surname First Name Year County
View Church Baptism Ruan Catherine 1821 Co. Galway
View Church Baptism Rowan Catherine 1826 Co. Wexford
View Church Baptism Rowan Catherine 1826 Co. Derry
View Church Baptism Roan Catherine 1819 Co. Kilkenny
View Church Baptism Roan Catherine 1827 Co. Down

There are 2 counties Wexford & Down which have a record for both John & Cath; Wexford is the only 1 with a parish in common(Kilanerin):
Name: John Laughlin Date of Birth:
Date of Baptism: 07-Jul-1807
Address: Parish/District: Kilanerin
Gender: Male County Co. Wexford
Denomination: Roman Catholic
Father: Morgan Laughlin Mother: Elizabeth Stafford
Occupation:
Sponsor 1 /
Informant 1: James Naughter Sponsor 2 /
Informant 2: Sera Manifold

Name: Catherine Rowan Date of Birth:
Date of Baptism: 12-Mar-1826
Address: Gorey Parish/District: Kilanerin
Gender: Female County Co. Wexford
Denomination: Roman Catholic
Father: James Rowan Mother: Hanna Mullet
Occupation:
Sponsor 1 /
Informant 1: Matt Hayden Sponsor 2 /
Informant 2: Ellen Doyle

This one is close for Hugh but it's not Mayo - I couldn't find a Mayo record.
Name: Hugh Reynolds McLoughlin Date of Birth:
Date of Baptism: 22-Apr-1845
Address: Roestown Parish/District: ARDEE
Gender: Unknown County Co. Louth
Denomination: Roman Catholic
Father: John McLoughlin Mother: Mary Reynolds
Occupation:
Sponsor 1 /
Informant 1: Joe McCann Sponsor 2 /
Informant 2: Mary Sullivan

I'm afraid I couldn't find John or Catherine's death records.

This might be John's death record on findmypastireland.ie (you need to purchase a bit of credit to view the full record).
Last name First name Born Died Event Record set Location
McLaughlin John 1807 1872 Irish Deaths 1864 - 1958 Strabane, Donegal, Ireland
Couldn't see Cath there.

geni.nidirect.gov.uk has this for Catherine:

D/1903/221/1027/18/485 Catherine McLaughlin 21st May 1903 80 Female Strabane(pre-1973 Q4)
I tried to copy the record but can't; it's there for a few credits.

Col