
SPOILER
Why do you think that the girl is from the king or Igen? I think she looked like Kasan like a child. So it would be more logical that she is from the servant/assassin girl *can't remember the name* and Kasan's brother... or something. I don't know 'couse I don't understand Chineise but I don't think Igen would sleep with anyone else than Kasan while he is in coma...
But just say it if I'm wrong :D

It's the daughter of the assassin and Kasan's brother. Igen hesitates when Kasan wakes up because Kasan was asleep for several years (hence the child talking and playing). So Igen can't believe that it's not a dream.

unlikely that she was either the king or seme's daughter
if I interpreted correctly i think the right hand man of igen and it looks like the servant of kasan's brother got married (it looks like her at least - i have no clue) and the little girl was calling them mom and dad

yeah i agree! i think it's the right hand man of igen and that girl that was always with kasan's brother.
spoiler
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the girl at the end is it the king's daughter or the seme's daughter and why did the seme hesitate a little whe kasan woke from the coma ...