I have not played long enough but it seems that the daimyo only has one wife... and they are kinda slow on child making... Am I missing something or there isn't such a feature?

Historically most daimyos had a dozen of concubines, and AVOID having a heir with their wives since they married through political marrage; but they would have a lot of kids with the concubines who came from less eminent families. If CA really forgot this in I would be quite surprised.

It just annoys me that I cannot get enough generals. And just like the other thread says, I also miss the large family trees from the earlier TW games.