Traditionally at least in my experience, anything to do with money is thought of as more men's work. But I did google and I did see things like classes in household economizing for women in the 50s? Does the tradition go back further than that though?
First, the basic economic unit in the pre-industrial world was the family. Whether the family was farming, banking, or making wagons, women were in it, and so integral to the business. You can see woodcuts, drawings, etc. from the 16th c. onwards showing a master and workmen at work in his shop and his wife talking to the customers at the counter. Even outside her role inside the place of business, she would manage the house- which was often located at the business. When there were apprentices, they would become part of the family. They had to be fed, housed, supplied with clothes; and she would very much be in charge of that. And women would not unusually be in charge of the business after the death of their husbands. In his classic Revolution in Time, David S. Landes described how the watchmaking shops of Geneva often would go through a generational shift. The master would die, leaving a younger widow. She would marry the head journeyman of the shop, and after time, she would die. The journeyman would then marry a younger woman and the cycle would repeat.
With the Industrial Revolution the family became less of an economic unit. Indeed, business became something that tended to divide families: men would go off to work in an office or factory, daughters might quit the farm in order to work at a weaving mill, sons might leave home to do the same. The family home would become an idealized place (thank you, Charles Dickens) , the warm friendly shelter from an increasingly harsh world. But still, in the household of, say, a young doctor of New England in the mid 1800's, a wife would often be expected to manage finances, know how to keep a ledger of accounts with the various tradesmen- butchers, farmers, stores- who would keep the family supplied and needed to be paid at regular intervals, as well as servants. It was to these women that Lydia Maria Child wrote her famous book,The American Frugal Housewife: Dedicated to Those who are Not Afraid of Economy
It is wise to keep an exact account of all you expend—even of a paper of pins. This answers two purposes; it makes you more careful in spending money, and it enables your husband to judge precisely whether his family live within his income. No false pride, or foolish ambition to appear as well as others, should ever induce a person to live one cent beyond the income of which he is certain. If you have two dollars a day, let nothing but sickness induce you to spend more than nine shillings; if you have one dollar a day, do not spend but seventy-five cents; if you have half a dollar a day, be satisfied to spend forty cents.