The Cults of Tarsh are very similar to those of Sartar, but remember that
Sartar is, for the modern world, a very unusual, very conservative Orlanthi
society. In most Theyalan lands from Dragon Pass Northwards, I imagine than
the clan rings are dominated by the forces of trade and agriculture, rather
than the "adventuring life". A Tarshite clan ring would certainly have
places for Barntar and the Earth Goddesses. I think Maran Gor and Babeester
Gor are openly worshipped in Lunar Tarsh. The Exiles are officially neutral
towards the Empire and, like everyone except militant Orlanthi, their
religious views are respected. As for their function, there are dinosaur
herds to be pacified in Lunar Tarsh and Earth Sacred places to be defended.
I am not familiar with the concept of a town ring. I thought the towns of
Sartar were relatively new creations, not natural outgrowths of
village-based Orlanthi culture. Pace Nick Brooke, the town governments of
the Roman, and the Lunar Empires are pretty democratic. I would expect
priest and Runelords of the Theyalan cults to be among the more powerful and
influential citizens of the Towns of Lunar Tarsh. It is therefore likely
that the Town Council of Dunstop, for example, would be quite similar in
composition to a clan ring.