'Lapageria' is named for Marie Joséphine Rose Tascher de la Pagerie (1763-1814), also known as Napoleon's Empress Josephine, who was a keen collector of plants for her garden at Château de Malmaison [REF].
The name of the fruit in Mapudungun is actually kopiw (derived from kopün, "to be upside down"), which is the etymon of Spanish copihue; the Mapuche call the plant kolkopiw (colcopihue in Spanish, which may also refer to the whole plant).