YARMOUTH, Maine—In November 2010, a prisoner in Santa Cruz, Calif., who’d been brought into a local hospital for an MRI scan, overpowered his female corrections officer, Tasered her with her own Taser, stole her gun, and escaped. The fugitive was later recaptured, but the incident was widely reported in the press and shined a spotlight on a major issue for hospital security directors: how to properly handle criminal patients and potential escape attempts.