Also to add to above, as already mentioned in our last posts together, the very idea of Huguenot refugees trekking from Languedoc to Northern England or Scotland is in itself highly unlikely. It was illegal for Huguenots to flee the Kingdom, they risked detection and imprisonment all the way, so they obviously took the closest form of escape possible. In the south this was the land border to Geneva the spiritual homeland of their faith. Instead trekking all the way up through the entirety of France into Holland or even undertaking a long clandestine boat journey to the British Isles, for most, if not all, would simply have not been an option.
I have myself done a thorough study into the place of origin of the Huguenots who joined the main congregation of Threadneedle Street in London, who had testimonials from their congregations in France, with the following results:
Normandy 946
Paris 714
Poitou 417
Picardy 284 (But up to 1,400 possible as many Picard Huguenots fled first Holland)
Saintonge 100
Loire 100
Languedoc 75
Nord 58
Champagne 49
Gascony 42
Brittany 24
Lyons 20
As you can see generally the further away from Britain, as might be expected, the less likely Huguenots were to flee there. Indeed 65 or the 75 Huguenots from Languedoc were from Nimes, a Protestant stronghold in the south, and were almost without exception bought all the way to Britain under very extraordinary circumstances. My own ancestor was one of these few, he and his family was bought there along with 15 others of that 75, when Queen Caroline personally intervened for their asylum in a case 'famous Europe wide' with books written about it. Likewise most of the others also came in groups in similar large scale, unusual and very well documented incidents of extraordinary persecutions. The chances the Clazies came from such a far flung place, either alone or in a group, but entirely undocumented, are next to nil.
Also from your earliest record your Clazie's are involved with and using the Anglican church. If Huguenots you'd have to ask why? The Huguenots were Calvinists. They would have fled to practice Calvinism. Anglicanism they viewed as only one step up from Catholicism, it was in many ways just the Catholic Church minus the pope. They viewed Catholicism as Anti-Christ, and Anglicism only marginally better.
Again you can never rule anything totally out. But since you have other much more plausable explanations for your Clazie's family's origins in Berwick, I do think you risk wasting your time in continuing to look for a French link, well certainly a Huguenot French one at any rate.
In short for the three examples you have found to be seen as possible evidence for a Huguenot link, you'd have to believe several things. That the family came from a very unlikely place of origin, (Languedoc), to an even more unlikely place of refuge (Berwick), whilst leaving no trace or documentation of their move (for Huguenots extremely unlikely in itself), at a very unlikely time for Huguenot immigration to the British Isles, and to top it all off were quite happy to settle in a place where they had no means of worshiping amongst their own brethren, in their own faith, even though this would have been the prime, probably only, reason for their initial flight! It just doesn't add up at all.
Hope that explains my views on it clearer so you can see I was not being hasty or dismissive towards the idea of Huguenot origin for this family, just giving you my genuine view based on my own experience and knowledge in this area.
Regards
Richard
