Final answer:
Mrs. Pennyweather's inquiry about dear children relates to the context of family history, as she is asking for personal details regarding one's offspring and familial life.
Step-by-step explanation:
When Mrs. Pennyweather inquired, "Now, tell me about your dear children," she is asking about personal details that pertain to one's family life. The context of this conversation best fits with the option of family history (c) as it pertains to information regarding one's offspring, their activities, ages, interests, and other familial details. This type of inquiry is often more personal and casual, and it is typically intended to get to know someone better on a family-oriented level rather than their educational background, personal interests, or professional achievements.