In the book The Hero and the Crown Does Aerin Sol get married?

Yes.

Tor-sola asks her to marry him, so she can be his queen. He claims to have love her for many years. Aerin becomes his queen, and the people forget to have had ill feelings towards her. The ending doesn't specify if they had children, but they must've, if the line continued all the way down to Corlath in the Blue SWord.