He is not thinking of his responsibility to her, but of his rights over her, and of her obligations towards him." This interpretation makes it sound as if the man is expecting the woman to bear him children. In a time where women were considered men's property anyway, not only would the woman be possessed by her husband, but her children as well.
He is not considering his duty to her, but rather his entitlements over her, and her duties towards him. This interpretation suggests that the man expects the woman to bear children for him. In a period when women were regarded as property of men anyway, the woman would be dominated by her husband, including her offspring.