(at around 33 mins) When Eve Black is in the hospital sitting on the bed talking with the doctor and he mentions introducing her to Eve White, she is holding a cigarette in her left hand. She wakes up as Eve White and covers herself, but has lost the cigarette.
At around the thirty-seven-minute mark, Eve's husband Ralph is sitting outside her room talking to Dr. Luther about her different personalities. As they speak, Ralph moves his hat to sit atop his left leg, while moving his left hand to lay on his right wrist. As the shot changes to be more head-on for Ralph, he is now seen with his left hand holding his hat on his lap, and his right hand unencumbered,
In at least two scenes, including the opening with Eve being driven to the doctor's office, there are cars in the background newer than 1951 when the story is indicated to be taking place.
When Jane and Earl are in his car and she explains her diagnosis, his voice is dubbed in two lines.