Final answer:
The identity of the French doctor who used tobacco to cure Catherine of Medici's migraines is not provided. Tobacco was commonly believed to have medicinal properties in the 16th century, but the information given does not specify the doctor in question.
Step-by-step explanation:
The French doctor who used tobacco to try and cure Catherine of Medici's migraines was neither Jean-Etienne-Dominique Esquirol, Dr. Edward, nor Dr. LeVasseur, as none of these individuals are linked with such a treatment in historical records. The true identity of the doctor who treated Catherine de' Medici with tobacco for her migraines is not provided in the information given. However, it is worth noting that the use of tobacco for medicinal purposes dates back to the 16th century, and at that time, it was a common belief in Europe that tobacco had healing properties. Unfortunately, with the information provided, we cannot accurately answer who this French doctor was.