Claus Birth Parents?

It would be cool if they made a back story on why Claus as a baby was abandoned in the forest during the winter of a snow storm

I always assumed they were poor and couldn't care for their own child. But i noticed in the scene where Ak finds the infant in the snow the snow was deep. Could it be possible his birth mother died keeping her baby warm? It would make sense especially since it was still snowing when Ak heard the baby crying.