We stayed at Jessica's place with our 14-month old baby and would definitely recommend this place to anyone visiting New Orleans.
The house itself is great: very nicely decorated, beautiful high ceilings, very clean, with all the necessary amenities including washing machine and dryer. The location is perfect for those happy to be a bit further away from the buzz of the French Quarter: it has a nice park just opposite and is minutes away from Magazine St which is great for lovely food and drinks. We walked to the French Quarter in 45' but you can also take the streetcar not far from the house. For us, having some peace and quietness in the evening was greatly appreciated.
Jessica was a great host in so far as we knew she was available if needed (introduced herself, readily available by mobile and living next door) but wasn't intrusive at all. She had left loads of information about the city in the house as well as dozens of personal recommendations for food/drinks in the area, which we made great use of. She definitely knows her city!
In sum, we will definitely try to stay in Jessica's house again next time we visit and will recommend the place to all our friends.