We are talking about Roman era urban setting. A kitchen was a luxury for most common folks in urban eras. Most poor people would go to a local shop, and eat co

We are talking about Roman era urban setting. A kitchen was a luxury for most common folks in urban eras. Most poor people would go to a local shop, and eat cooked millet/grains or rarely meat (usually chicken, as beef was a luxury), and lots of local fruit/veggies. In the country-side, yes, there were kitchens/places to cook home, or often outside the main home. (barn style of a place, dedicated to cooking).