Answer:
1. Yes, Madame Forestier should give the necklace back to Forestier.
2. She should give her the necklace in order to help Matilda and her family get back on their feet financially because the repayment of the cost of a real jewelry badly affected them.
Explanation:
In The Necklace by Guy de Maupassant, Mathilde's greed and dissatisfaction with the little she had led her into borrowing a jewelry from Madame Forestier which she believed were real. When she lost the jewelry at the event she attended with her husband, her husband spent about 10 years paying the cost of the jewelry, some 36,000 francs.
During the walk when Mathilde revealed the truth to Madame Forestier, I think it would be an honest and merciful act by the old lady to give back the real jewelry to Mathilde so as to help her family recover from the strain of paying all that debt.
