Jackie says she is innocent and asks about Simon. Dr. Bessner asks Poirot to talk to Simon. Simon tells Poirot that Jackie didn’t commit the murder and that Linnet had many enemies. Linnet’s maid, Louise Bourget, saw Linnet in bed shortly after 11:00 p.m. then went to her own cabin below deck. Linnet’s pearls are missing.
Poirot wonders if Linnet’s maid knows more than she is saying. Poirot questions Pennington, Ferguson and Fleetwood, the man Linnet’s former maid was supposed to marry. Mrs. Allerton tells Poirot she heard a splash and someone running on the deck last night. Tim Allerton says he heard the splash, someone running and a cork pop.
Poirot and Race study cabin assignments. Miss Van Schuyler says she heard Linnet’s maid in Linnet’s cabin, she heard the splash and saw Rosalie drop something over the side of the boat. A boat manager brings a pistol wrapped in Miss Van Schuyler’s velvet stole.
Rosalie tells Poirot that she and her mother went to bed before 11:00 p.m. and denies being outside the cabin after that time. Mrs. Otterbourne doesn’t know if Rosalie was outside the cabin as she didn’t hear anything after going to bed. Richetti says he went to bed early, but he did hear a splash. Ferguson, who went to bed at midnight, heard someone running, a splash and a cork pop.
Pennington heard commotion after 11:00 p.m. He thinks Jackie killed Linnet. Poirot and Race decide to search for the missing pearls while everyone is at lunch. They go through the information they have. The maid saw Linnet at 11:30 pm. Cornelia, Jackie, Simon and Fanthorp were together at that time. The pistol used to kill Linnet was the same weapon Jackie used to shoot Simon. Poirot wonders why the gun was thrown overboard. He also thinks the velvet stole would have made a poor silencer.
Simon asks Poirot to bring Jackie to him. Jackie apologizes to Poirot and professes her innocence. Poirot talks to Rosalie about her mother’s drinking problem. Rosalie confesses to throwing a bottle overboard. She denies seeing Miss Van Schuyler on deck.
In the dining saloon, Tim and Mrs. Allerton talk about the murder. Tim tells his mother about the stolen pearls. Poirot asks the pair about Joanna Southwood, robberies and shipping to and from London. Colonel Race announces that a search for the pearls is in progress. Later Miss Bowers returns the pearls to Poirot.
Miss Bowers says Miss Van Schuyler is a kleptomaniac and she took the pearls. Miss Bowers tried to return the pearls but was unable because of the murder. Poirot asks if Miss Van Schuyler is hard of hearing, Miss Bowers says yes. Poirot studies the pearls and finds they are fake.