Final answer:
Cotton Mather did not hold the occupation of a lawyer. He was a prominent minister in the Puritan church and a notable figure in early American society, known for his writings and his influence on education and religion.
Step-by-step explanation:
The occupation that was NOT held by Cotton Mather is Lawyer. Cotton Mather was a renowned minister, part of the influential Mather family, and he was particularly known for his involvement in the Salem witch trials, his role as a minister in the Puritan church, and his prolific writings. He was also known for his influence in various aspects of colonial life, including education and religious doctrine. His role was substantial in terms of the shaping of early American society and creation of its educational norms. While Mather was a strong advocate for inoculation during smallpox outbreaks, thus contributing to medical practice of the time, there is no evidence that suggests he was formally trained or practiced as a physician, lawyer, or teacher.