The Order of Chivalry was created in AS 2 with the twelve men knighted that first year as the founding members of the Order. In the tradition of the Society, only a knight can make a knight which in turn creates individual lineages from a single founder. Six of the original members never knighted anyone, their potential lineages extinct. Two of the original members elevated but one generation each, those lineages also extinct. Four knightly lineages continue on to this day.
I have compiled a collection of these lineages into an Excel doc that you can see HERE. Any corrections will be gleefully accepted. With luck, I will be able to solve every puzzle of unbelted king and have the lineage unbroken. I hope to find some connection to the extinct lineages, but at this point that's just optimism on my part. :)