Final answer:
The transfer of dance patronage from the Italian court to the French court in 1581 cited in the question cannot be attributed to a specific individual based on the provided references, which mainly discuss later periods and different figures in the arts.
Step-by-step explanation:
The individual who greatly influenced the shift in dance patronage from the Italian court to the French court with her transfer to France and the production of Le Ballet Comique de la Reine in 1581 is not clearly specified in the provided references. The information predominantly centers around the period of Louis XIV and beyond, particularly the late 19th and early 20th centuries, which is after the mentioned date.
Important figures in dance mentioned within the references are Louise Weber, also known as La Goulue, who danced at the Moulin Rouge, and Elisabeth Louise Vigée-Le Brun, a renowned painter during the French Revolution and not directly related to the transfer of dance influence. Thus, without information specific to the 1581 event, the query cannot be accurately addressed.