Final answer:
The relationship between the children and the governess at the opening of this chapter is characterized by joy and rejuvenation.
Step-by-step explanation:
At the opening of this chapter, the relationship between the children and the governess is characterized by joy and a sense of rejuvenation. The presence of the children, particularly little Fay, brings laughter and happiness to Jane Withersteen's home. The governess, Jane, also begins to interact more with Lassiter due to Fay's influence. Overall, the relationship between the children and the governess is depicted as positive and transformative.