In the synopsis for "Sailor Costigan and the Turkish Menace," Steve Costigan lands in the bustling city of Singapore and inadvertently gets entangled in a case of mistaken identity and crime. As Steve walks down a back street at night, he witnesses a robbery where a bulky man assaults another man and steals his briefcase. Steve chases the assailant but loses him in the maze of dark alleys.

As Steve enters a bar to gather his thoughts, he overhears a conversation revealing that the robbed man was carrying a large payroll and had identified his attacker as a sailor resembling a gorilla. One patron suggests that the description matches Steve, making him a suspect in the robbery. Realizing the potential danger, Steve decides to avoid the police.

During his escape, Steve encounters his friend Bill McGlory, who is determined to wrestle a formidable opponent known as the Turkish wrestler. Despite Steve's efforts to dissuade him, Bill remains resolute. They head to the wrestling arena, where Bill is ultimately thrown from the ring and knocked unconscious. When he regains consciousness, Bill is adamant about confronting the Turk again.

Their argument about finding the Turk is interrupted when a clerk, accompanied by the police, recognizes Steve as the alleged robber. As they flee from the authorities, Steve and Bill stumble into a hideout where criminals, including the Turk in street clothes, are splitting their stolen loot. It becomes clear that the Turk was the actual assailant in the robbery. In the ensuing chaos, Bill manages to knock out the Turk while Steve handles the rest of the gang.

As the police arrive on the scene, the stolen payroll is recovered, and the true circumstances are revealed, clearing Steve of the robbery charges. The synopsis paints a vivid picture of misadventure and mistaken identity, coupled with action-packed sequences typical of a Sailor Costigan story.