The people in this photograph important to New England during the early 1800s as they contributed to the growth of the textile industry. Thus the correct answer is C.
What is a factory?
Factory refers to the place where manufacturing and production of goods take place with the help of raw materials as input and human resources and machines as a process.
The picture says that child workers and women are posing they help in contributing to the growth of the textile industry as it helps in increasing the economic power of the country.
Therefore, option C is appropriate.
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