Charlie Chan In The Chinese Cat (1944) B&W

Thomas P. Manning, businessman and chess expert mysteriously shot in a locked room, dies clutching some chess pieces. Police are baffled, and finally abandon the case. Six months later, victim's daughter Leah Manning, stung by a scurrilous book about the case, enlists the aid of Charlie Chan and Number 3 Son. Additional murders follow, leading to a climactic confrontation in a seemingly deserted "Fun House." Written by Rod Crawford

Source: IMDB