Grace Livingston Hill 
Out of the Storm 

When her beloved parents die, lovely young Gail Desmond realizes she must find a job. Finally she finds a seemingly enviable position as a traveling companion to a woman of wealth, and soon they are off on an ocean voyage.
Then disaster strikes! The ship on which Gail and her employer are traveling sinks. Suddenly Gail finds herself afloat on an angry sea, lashed to a makeshift raft, desperately trying to keep an unconscious man from slipping away from her—a man who was critically injured when he saved her life!