My husband and I stopped through New Orleans during our cross country move and we really enjoyed our stay at Frenchmen House. Our room (the red room) was very clean and private, though sound carries, so be aware of that. Joanne was a great host, offering access to coffee and various breakfast items in the morning. She also allowed our terrier mix to stay, a huge help since he was moving with us.
The proximity of the house to the FQ is perfect, only about a 10 min walk. Also about a 5 minute walk to Ruby Slippers, a delicious brunch place Joanne recommended to us. Great location overall.
The only downside is with 6 guests staying in the house (the other two rooms were occupied while we were there), it took quite awhile to get into the bathroom. But, we weren't in a huge rush, so it wasn't much of an issue for us.