I would describe Edna as a good mother, through the lens of 21st-century motherhood, though she is an atypical one; she's not the overly-nurturing and abundantly maternal type. She insists on having and retaining her own identity, despite her status as a mother, something which was rather unusual for a woman in the time and place when the novel is set. Each of her boys, unlike the other kids, would not "rush crying to his mother's arms for comfort" if he falls down; instead, "he would more likely pick himself up, wipe the water out of his eyes and the sand out of his mouth, and go on playing." The narrator says that the boys pull
together and [stand] their ground in childish battles with doubled fists and uplifted voices, which usually prevailed against the other mother-tots.
In other words, Edna's style of mothering is actually preparing her children more for the world than the mother-women's. Her kids can take care of themselves...
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