In a legend, which Maxim's owner brought tarte Tatin's recipe to his menu?

In the legend, Maxim's owner Louis Vaudable brought tarte Tatin's recipe to his menu.

The story says Vaudable tasted the caramelized apple tart, became impressed, and helped make it known at Maxim's, Paris's celebrated restaurant. The dessert is associated with Stéphanie and Caroline Tatin, sisters who ran the Hôtel Tatin in Lamotte-Beuvron, south of Paris. Its defining technique is baking caramelized fruit beneath pastry and turning the tart out before serving.

The tale is historically problematic. Vaudable was born in 1902, while the Tatin sisters retired in 1906 and died in 1911 and 1917. The Vaudable family did not purchase Maxim's until 1932, so the popular account cannot be a straightforward contemporary transfer of the recipe. The sisters also never published a recipe or called the dish tarte Tatin themselves.

Curnonsky and Maxim's helped establish the tart's later fame. Antonin Carême had already described related upside-down glazed fruit pastries in 1841, so the accidental-invention story should be treated as legend rather than settled origin history.