Yet the link I found for silversmith marks says CJ stands for Caithness Jewellery, not Cox.
I did note a full stop after the C, but not after the J ->.

I can't find a scrap f anything about a Scotia silver maker - just hallmarks and historical dodgy dealings.
I do not remember any Scotia Jewellery shops in Edinburgh.
The posh modern one was Ian Clarkson.
I believe his son runs it now.