You missed out Madina Or are the ones that came to Madina a different clan?
You mean the people that went on to found Aurvandil? They are not, to my knowledge, actual Saxons. They did not ever participate in Thulsoma, nor do they IC claim to be of the Saxon race (again, to my knowledge). They attempted a failed rebellion in the Libero Empire and left there and went straight to Madina as far as I know, except the ringleader who was deported and then resurfaced in Caerwyn.
In an OOC sense there may be a connection there, but I have no evidence of that on Dwilight. It could just be two different groups that happen to be sympathetic to each other. I know that Hroskell, the leader of the failed rebellion, was sympathetic to the Saxons going back to when he was a priest of SA, and later joined Caerwyn with what I imagine was the express purpose of getting revenge on SA. However, there are IC reasons for everything he did.