4noonefamily:
Welcome to Ireland Reaching Out!
I searched Roots Ireland and did not find the marriage record. Possibly they were married in a different parish from Tynagh where Catherine was from. I did locate an 1839 baptismal record for a William. Mother was Kitty Meara. You may want to search the parish register for other baptismal records including Patrick. Link to register below. Also here is a link to the 1856 Griffiths Valuation head of household listing for Tynagh civil parish http://www.failteromhat.com/griffiths/galway/tynagh.htm There is a John Noone in Kilgorban townland.
Roger McDonnell
Name:William NooneDate of Birth:
Date of Baptism:23-Apr-1839Address:Not RecordedParish/District:TYNAGHGender:
CountyCo. Galway
Denomination:Roman Catholic
Father:Noone JohnMother:Meara KittyOccupation:Not Recorded
Sponsor 1 /
Informant 1:Fahy WilliamSponsor 2 /
Informant 2:Fahy Kitty
http://registers.nli.ie/parishes/0339