My girlfriend and I stayed at Lilian's place to go see the French Open (tennis tournament). The location is incredibly convenient both for going to the Open, as well as to explore Paris (there is a metro stop 1 block away). The apartment is spacious and clean. It also has great internet. Lilian and her daughter were very accommodating and communicating with them was smooth and easy throughout the trip.
For travelers who are sensitive to noise, you should know that the apartment above has a young child who has a tendency to run around a bit wildly in the mornings and there is little insulation to dampen the noise.
I would definitely recommend Lilian's place, especially to people going to the Open.