I think that the original and the copy were made by the churchwarden Thomas Evans. Compare his signature from the transcript with 'Thos Church' in the entry above Richard's. The slightly larger picture also shows that the reverend gentleman in the line below Richard, William Davies, is indeed the minister of the church. I suspect he's the one who added 'born and baptised on the same day' in Latin to his son's entry and added 'his wife' after 'Anne', presumably in case there was any doubt. There's not much to go on but he may also have made the alteration from 'James' to 'Richard'.
