While travelling by train, Miss Marple witnesses the strangling of a young woman in another train on a parallel track. The police find nothing to support her story, so she conducts her own investigation and, with the aid of her close friend Jim Stringer, comes to the conclusion that the body must have been thrown off the train near the grounds of Ackenthorpe Hall. Wheedling her way into a job as housekeeper, Miss Marple copes with her difficult employer, Luther Ackenthorpe, and searches for the missing corpse. She eventually finds it concealed in a stable, much to the chagrin of Police Inspector Craddock. Stringer uncovers the details of Ackenthorpe's will: the family fortune is to go to his long-suffering, attentive daughter Emma; his sons Cedric, Harold and Albert; and Alexander, his intelligent and insightful grandson. Also, Dr Quimper, Ackenthorpe's physician, and Emma are secretly in love. The gardener, Hillman, and the part-time servant Mrs Kidder round out the establishment and the list of suspects. Alexander finds the first clue, a musical compact that plays "Frère Jacques", near where the body must have landed. When Emma reveals that she recently received a letter from a French woman named Martine, who claims that she married Edmund shortly before he died and is therefore an heir, the identity of the dead woman and the motive for the crime seem clear. Arsenic in the curried duck prepared by Miss Marple sickens all who eat it, but only Albert succumbs. Then Harold dies by his own shotgun. The police are unsure if it was suicide by a remorseful murderer or the third victim. Miss Marple, however, is not deceived, and sets a trap, using the compact as bait. Dr Quimper is revealed as the villain. The dead woman was not Martine at all, but his own wife. Quimper feared that the compact, a gift to his wife, could be traced to him. He intended to dispose of the other heirs and marry Emma. He administered a second, fatal dose of arsenic while supposedly attending to Albert.
As with most of her portrayals of Miss Marple, Margaret Rutherford's interpretation was quite different from Agatha Christie's. In addition, Agatha Christie's trademark suspense and underlying darkness are largely replaced by light, even whimsical touches typical of a comedy of manners. In the novel an elderly woman named Elspeth McGillicuddy witnesses the murder, not her friend Miss Marple, who is introduced later. Also in the novel a young acquaintance of Miss Marple's, not Miss Marple herself, is sent to pose as a housekeeper at the suspect location. The manor house where Miss Marple conducts her inquiries is called Rutherford Hall in the novel, but this was changed to Ackenthorpe Hall in the film to avoid using the leading actress's surname. Crackenthorpe, the family name in the novel, was shortened to Ackenthorpe.
Despite Agatha Christie's personal dislike of this adaptation, Murder, She Said received a generally positive response from critics, and maintains an 83% approval rating on Rotten Tomatoes. Almar Halfidason, a critic for the BBC film website, awarded the picture four stars out of a possible five, calling it "delightfully dotty" and "fun". The film made a profit of 342,000 U.S. dollars.