Hearts in Exile.

In this romance set in Russia, a fisherman's daughter is jilted by her true love and instead marries a baron. Time passes and the two men meet each other in Siberia where they have both been exiled. When the poorer man has the opportunity to come home, he changes places with the baron so that he can return to his wife. Unbeknownst to him, she has gone to the frozen wasteland to search for him.