The cellars of the Majestic

Try to imagine a guest, a wealthy woman, staying at the Majestic with her husband, her son, a nurse and a governess - in a suite that costs more than a thousand francs a day. At six in the morning, she's strangled, not in her room, but in the basement locker room. In all likelihood, that's where the crime was committed. What was the woman doing in the basement? Who could have lured her down there, and how? Especially at an hour when people of that kind are usually still fast asleep.