I went to the Archives again and had a look at the Marriage Registers for Llandudno and Eglwysrhos. I was hoping to find an entry for Owen Jones and his wife Cathrine aka Kitty as they were both born in Llandudno and were one of the first squatters on the Morfa.
Unfortunately I couldn't find any entry for them in the Church records but they may have got married in a Chapel instead and Chapel records are not always available
I then went on Ancestry and looked at the Census records for 1841. There are hundreds of Owen Williams' in Anglesey in the 1841 Census so I took his age and year of death into account and it would appear that he was born in 1831.
Assuming that year to be correct there were only two entries that had a father and son called Owen Williams.:-
Owen Williams aged 65 shopkeeper of Tyn Llidiart Rhosybol in the Parish of Amlwch
Margaret Williams wife aged 42
Owen Williams son aged 10
Owen Williams aged 50 farmer of

fawr Llaneugrad
Catherine Williams wife aged 45
Owen Williams son aged 10
Unfortunately there is no evidence to prove that either of the above are your Owen Williams but it's something to think about. If we knew for certain the year of Owen's birth then it would make the search easier