“The Rocking-Horse” winner by D.H. Lawrence introduces a woman he does not name. He only briefly mentions that she was both beautiful and had advantages, but the main important characterizing feature at first appears to be her lack of luck.
Lawrence goes on to describe this feature in her marriage and motherhood. In her relationship with her children, it becomes clear that her lack of luck is in fact a basic lack of love. Perhaps the husband reacted to this lack of love in the same way the children do.
What is interesting is that the woman does not succumb to the hardness in her heart, which she seems to have no control over. Instead, she tries to override it by overt expressions of affection.