Board Thread:Wiki-Related Discussion/@comment-5679696-20150105234331/@comment-2153169-20150108163143

The King of Arendelle is not Kai. Jane Espanson already answered to this question on Twitter, and she confirmed it is not his name. he simply does not have a name.

So when you say the name of Ana's mother is obviously Madame Tremaine, you're wrong. It is just what you think.