So I was thinking, after me coming home to find lil' Francis Beaufort adopted a pet Skeever and asked me to keep it, wouldn't it be somewhat interesting to see you parental mistakes later have negative effects? Like say, you come home at another date and either you or your steward makes it aware your child has become sickened by the pet and a disease it carries. Then you go for a quest to find a cure or gather special ingredients, or cure them yourself with high restoration or something.
Or Daedric Items have the same effect on your kids just as the Ebony Blade did Nelkir if you leave them out displayed or in the open. Just some thoughts that I thought it would be awesome to see.