Why is it different from our home? According to the genealogy, the middle word should be decided first. What should be decided is what to choose the third word. Because isn't the middle word a generation in our family tree?
However, according to your thinking, I think.
Li,
Li, Li Yaozu, Li Zhengzu, Li, Li Zhizu, Li Renzu, Li Yizu, Li Shizu, etc. And more traditional.