Hi Cookie,
I have checked the nonconformist records that I have but have not found him there. The transcribed church records end at 1812, so they do not help. When you say Llanrwst, do you mean the actual town or one of the several villages which are classed as Llanrwst? What were the names of his parents please as this might make it easier to at least eliminate a Owen Ellis? I'm sorry to be so negative but I will keep looking for you. It would be easier to have just a little more information if you have it.
Titch (Llanrwst)