It depends on the situation at hand. In this day and age most women are outside of the home with a job. If this is the case, yes, both parents should share the chores and problems a child brings.
If the mom stays at home, she should be in charge of the house. If there are only one or two children to be looked after, she should have time to take care of a three bedroom sized home.
Also if she is a stay-at-home mother, it depends on the number of children in the household. I knew a family in Tampa, Florida with 12 children. Both parents taught the eldest children to help with the others so more than two adults could help around the house.
Marriage is a team effort in buying a house, making choices, having children, and taking care of those children.