The garden takes its name after Joseph Migneret, the director of the "École élémentaire des Hospitalières-Saint-Gervais", a boys' school located nearby.
During World War II, Migneret showed active resistance by providing false papers to fleeing Jews and sheltering many of his former students, saving them from deportation and death.
From this point of view a surprising 35 meters high chimney can be observed, which belongs to "La Société des Cendres", which used to process filings and off-cuts of gold and silver left over from workshops.
Over the centuries, attached to the property of the Hôtel d'Albret, it served as a summer dining-room, and, later on, as a chapel.
The bustling rue des Rosiers can be reached through the third part of the garden, via a small covered walkway at number 10.