Enforcing order - Warriors of various stripes, fulfilling different specialized roles in a military force.She is the principal of Hierarchy, which she means she wants the greater to become greater, and the weak to become weaker. She is the one that crushes rebels, the one that destroys those who would try to overthrow the system. She is the one that gives powers to kings and rulers.
Thus, what a second circle would want is for people to obey orders. For people to stay in their place. For people to stay in their place in society. But such a thing is rather abstract. I'm not sure on how to make a 1st circle demon for it. The best I can come up is a demon whose whispers makes everyone more subservient to their superiors, and for people to slowly lose free will, slowly becoming slaves.
Expanding order - Musicians, orators, those who seek out those not in the order and seduce them into it.
Enhancing order - Bureaucrats, scribes, engineers. Those who build to make the order grander
But a 2CD can have VERY divergent goals from their parent primordial. Just too far removed. So for 1CDs I think tracing lineage is not as important as what purpose they have. Heck, I could see multiple yozis producing the same 1CD from convergent design to meet a common need.