It is probably John Moloney as in the first posting family first son was named John. What about second family's children names. Daniel was a fairly unusual name at the time.
John and Mary leading the way for names, James, Michael, Patrick,....
The difficulty could be the birth records. Often marriages
happened in the bride's parish if different from the grooms
so hard to say where the children might be baptised. If RC
and mother went home to her mother's for delivery it could be Nenagh. RC had to baptise as soon as possible.
Parish of Nenagh, RC on an online History Foundation which although not for profit is a fee paying website-there is little in Ireland for free but cheap compared to travel where you would need to go to the same Foundation for records for RC as local parish's aren't very forthcoming:
records start for baptisms and marriages 1792 but so many gaps (some whole years) till 1844 for baptisms and marriages 1819. You should find it easy to get a marriage
for Daniel. Ellen is fairly unusual but can also be Helen or Eleanor!
This RC parish record might be on microfilm, available from
the Latter Day Saints at a LDS Heritage Center near you. These were obtained by the LDS from the National Library in Dublin. I'm pretty sure Ancestry has these as well.
John Moloney, Parish of Nenagh, Town of Nenagh N.
PLU Nenagh, tenant of John Gleeson
#1 River-lane a house
Thomas Moloney, Parish of Nenagh, Town of Nenagh S.
tenant of Thomas Gleeson
#25 Church St. house and yard
John Moloney, Parish of Nenagh, Town of Nenagh S. tenant of
#7 Silver-Street house and garden 0.0.7 perches (a perch is an old English measurement 1 perch is 18'x18'.
Patrick Maloney same info but #4 Dirty Lane house, outbuilding and yard (spelling)
Do not see any Cavanagh/Kavanagh in Nenagh Parish all though there are 62 Cavanagh's in the County.