The majority of the unschooling families I've know have had both parents (or 2 out of three parents, if they were poly, or one parent if it was a one parent family) working for pay. Most often, one parent would work fulltime outside the home, and the other would have some sort of flexible part-time job, often something that could be done from home or with the kids. I've known many variations, though.
I'm a single parent so I've always worked, but the details have varied a lot.
Single mom to Rain (1/93) , grad student, and world traveler