Hi Karen and JJ
Karen, you definitely have a combination of Scottish and English names there for the children of James and Naomi (Naomi you said came from Cornwall).
Really pleased to hear that the surname of Cook may be there as a middle name for Ethel (although normally it would be linked to the relevant person, including first name, on either the father or mother's side - and Ethel is most certainly English, Temarama..no idea!).
If this does turn out to be the right family for your James, I wonder where the connection to the Coal Merchant Waldies comes in. Maybe back a couple of generations?
Regards.
Monica