I couldn't find Matthew's birth/baptism record on www.rootsireland.ie/ or Family Search.
If he was RC, the National Liobrary has Trim baptisms but they don't start till 1829.
His marriage is on rootsireland but annoyimgly does not have any info that you don't have!
Date of Marriage:30-Nov-1833
Parish / District:COLLINSTOWN
Not RecordedDenomination:Roman Catholic
Roman CatholicOccupation:Not Recorded
Not RecordedAge:Not Recorded
Not RecordedStatus:Bachelor (Previously unmarried)
Spinster (Previously unmarried)
Wife's FatherName:Not RecordedMoore
Wife's MotherName:Not RecordedNot Recorded
Not RecordedNot RecordedAddress:
THIRD WITNESS JAMES GLINNON
I'm afraid this is the only one of the children's baptisms which I could find one roots::
Name:Mary Margaret MooreDate of Birth:
Date of Baptism:24-Apr-1843Address:
Parish/District:ST.PAUL'S ARRAN QUAYGender:FemaleCountyCo. Dublin
Father:Matthew MooreMother:Jane GlennonOccupation:
Sponsor 1 /
Informant 1:Michael MooneySponsor 2 /
Informant 2:Anne Glennon
No luck with Jane's baptism