I'm not sure to whom "her" in the title refers. If it's Gene Tierney, as pictured on the DVD box, well, no. Maybe they couldn't get away with a title like Leave Her to Hell in the 1950s.
It's the old story: Richard (Cornell Wilde) meets Ellen (Ms. Tierney) on a train. They are immediately smitten, but Richard fails to pick up on some signs that Ellen's brain is operating several sigma outside the mean. So Ellen breaks off her engagement to Vincent Price (honest!) and they get hitched as fast as possible. But it soon becomes apparent that Ellen gets (literally) insanely jealous at anyone with whom she might have to share Richard's attention.
Problem number one: Richard is devoted to his sickly brother, Danny. And I don't want to spoil anything, but Danny soon leaves the picture. Next up, Ellen gets pregnant, but… geez… won't Richard have to pay attention to the baby? Oh oh.
Eventually, Richard catches onto Ellen's thing. But she's got one more trick up her sleeve.