Hi Jim,
You ask a lot of interesting questions, whish I cant answer, but most of the answers would be - maybe, could be, possible, I don know - I will however try to answer some of the questions.
Here you can see the Sun born, Moon born and the Fire born clans.
http://www.jairajputana.com/list-of-...and-vansh.html
There is something of which you should be aware, and that is that some of the clans mentioned are sub clans of other clans mantioned. Like the Chundawat clan is a sub clan of the Sisodia clan of Mewar - see catalogue pp. 204-205.
You ask what the top of the disc from a fire born clan would look like, I am not sure, but I have seen a sun where the rays looked like flames, so I suppose that is what they could/would look like.
To research this subject would be a lot of work, and quite complicated as a close knowledge of the clans involved, and of their history, would be needed. To this comes the sub clans, sub sub clans and so on.
What about the disc tops with a flower with a different number of petals, or the disc tops with nothing at all?