We must realize, that at that point in biblical history, it was believed that the father, and the father only, contributed what we would today call the genetic make up of the child. What they called the male seed was regarded as containing an entire nascent human being. As a consequence, they regarded any wastage of the seed as tatamount to murder. This explains why masturbation, coitus interuptus and even wet dreams were considered to be serious sins. The role of the woman was solely that of providing the warm nurturing environment for the developing child. She had no genetic contribution to make. Since she contributed nothing to the make up of the child, she could, of course, not be the agency through which Original Sin was passed on. Of course the mother herself was cursed with Original Sin but this flaw in her was not felt to have any bearing on the state of the child.
This entire theory fell apart about 300 years ago when it was discovered by microscopic studies that the mother did indeed contribute genetically to the child. She of course supplied the egg cell to be fertilized by the male sperm.