It's been many years, but I toured a New Orleans home of about the right period. I blame any mistakes on my recollection on the passing years.
As I remember it, the kitchen was in the back of the house, with a single common wall, almost like it was an afterthought. There was a kitchen garden next to it where herbs and greens could be grown. There was also a sandy area where a fire could be built for a huge kettle used for laundry, dyeing, or birthin' babies. (That last part was a joke.)
Inside the house, the rooms were surprisingly small, even the 'grand' rooms. Though the house was pretty compartmentalized, none of the open space concept of modern luxury homes, the rooms were mostly interconnected with doors and never more than two deep, to take advantage of whatever breeze might be present. So you might open the parlor windows in front, the door to the back stairs or whatever, and the window of that room, allowing air to pass through.
The slaves' or servants' quarters were the top floor, little better than floored attics. We toured in summer and the heat was positively stifling despite open windows. That's how it would have been for those who lived there. What I remember seeing was almost dormitory style, a row of beds, no private space. I don't know if that was typical or not.
Maryn, hoping this helps a little bit