Final answer:
While the 'Mother Peace' isn't specifically listed in the answer choices, Lottie Moon's work in China correlates with the description of 'Mother Peace' as she served during times of famine and opium addiction and devoted herself to missionary work.
Step-by-step explanation:
The woman minister known as "Mother Peace" who served in China during the troubled times of opium addiction and famine is not specifically mentioned by name in the available options given (Dorothy Radley, Marie Stephany, Jessie Wengler, Lillian Trasher). However, based on the context provided, the description best matches the work of Lottie Moon, a Southern Baptist missionary who lived in China for over forty years and was known for her efforts during famines, the Boxer Rebellion, and other hardships. She also fought against the practice of foot binding and was instrumental in evangelizing her Christian beliefs among the Chinese people, converting many to Christianity. While the options provided do not include Lottie Moon, her contributions match the description of 'Mother Peace'.