How does the story show how the narrator uses family members to depict social role of women?

You haven't cited any particular story, thus, I am providing you with Gradesaver's analysis of the theme of Gender and Identity below.

Gender and identity

In many of her short stories, Chopin seeks to elucidate the previously marginalized point of view of the female, who belonged to what could be called an inferior class according to the laws and norms of the late nineteenth century. Although the female protagonists do not themselves consciously understand the role of the gendered power relations in their society, the heroine finds in a number of cases that she has very little power except through the proxy of her husband. For this reason, Louise Mallard feels a sense of exultation when she learns that her husband has died, and she reasons that the end of the obligations of marriage will free her to follow her own desires. In addition, in "Désirée's Baby," Désirée is forced into suicide not only because she cannot bear the lack of her husband Armand Aubigny's love, but also because she has no power to overrule his prejudices and ability to ruin her life.