Lady in the Death House

Lady in the Death House is a 1944 American film directed by Steve Sekely, starring Jean Parker and Lionel Atwill.

A blackmailer is killed in Marys apartment and she is arrested and tried. Her teenaged sister Suzy is the key to the case. Finch gets her to identify the real killer, but a race against time begins to find the governor so he can stop the execution. Bradford holds off the warden and guards until Finch can save the day.

Source: Wikipedia