Hi Med, I have a subscription to FindMyPast and many of the parish registers for Wales are digitised. This means you can look at the actual images.
I wondered about the Jones as a surname for Edward, but did see that the other child (Anne 1816) had a second name of Jones.
I don't understand the Welsh patronymic naming system at all, and wonder if this is an example?
Did you also notice that Alice's father was named as Evan Pearce !
Mar