Julia Roberts caused a controversy after she left Abbeville, South Carolina, where the film shot some location work. She said the place was "a living hell" and a "horribly racist" town and she would never return there.
The name Laura chooses for herself is connected to her past life. The first name of Sarah means Princess, which is what Martin used to call her, and the last name of Waters symbolizes Laura's supposed drowning.
The trivia item below may give away important plot points.
The scene that Ben's students are rehearsing when Martin spies on the class is from the play 'The Seagull' by Anton Chekhov. It is a scene from the final Act of the play when the character of Konstantin is begging the woman he loves, Nina, to be with him. Nina, who does not return his love, rejects him and Konstantin commits suicide shortly afterwards. In parallel, Martin believes himself to love Laura/Sara as much as Konstantin loved Nina and there is a similar scene later in the film when Martin begs Laura/Sara to be with him and she rejects him. Also, like Konstantin, Martin dies of a gunshot wound.