Jim:
Based on the two surnames, I'm sure Thomas came from Co. Clare. I searched on two subscription sites Roots Ireland and FindMyPast but was not able to find his baptismal record but I did find a baptismal record for a sister Ann.
First name(s)AnnLast nameMoronyBirth year-Baptism year1839Baptism date27 Apr 1839ParishNewmarket-On-FergusAlternative parish namesNewmarketDioceseKillaloeCountyClareCountryIrelandFather's first name(s)MichlFather's last nameMoronyMother's first name(s)HonoraMother's last nameMcMahon
Also, Roots Ireland did have a July 13 1836 marriage for a Michael Moroney and Nora McMahon at the Newmarket-on Fergus RC parish
The family likely moved to an area where the RC parish does not have records for the 1840/1850s.
The Clare County library is a good site for Genealogy research https://www.clarelibrary.ie/eolas/coclare/genealogy/genealog.htm
Let me know if you have any questions.
Roger McDonnell