I don't think so cause the children doesn't seem to know
It's a yes because if you look at the other two girls in the end one of them looks exactly like the main charcater's "sister" kid so that should mean that they ended up together since the Kings kid and the sisters kid are being baby sat together and I think the other kid is one of the other sister and the lord sryl kid
She continued to travel with her sisters, probably collecting tales/information to share with the king, and would visit him in secret whenever the troupe passed near the palace. I didn't see it stated if the king officially married anyone, although it's likely he had to, but clearly she and the king eventually 'embraced', because the boy is obviously his son, proven by the boy's possesion of the music box, although I doubt he has been legally recognized as an heir to the throne.

wait do they be together