I actually dealt with this once in a previous answer! Why are the buttons in men's shirts on the right and women's shirts on the left?
The tl;dr is that we don't really know, but it may have to do with increasing gender differentiation in the late eighteenth and early nineteenth centuries - because for centuries there was no rule that they should button differently.
It has nothing to do with women being dressed by their maids and manly men dressing themselves.