Premise: Gillot was a 17th/18th-century French theatre manager and playwright about whom we have no information except that he wrote farces and puppets plays for the Théâtre de la foire Saint-Germain at the turn of the 17th and 18th centuries. We have four burlesque plays by him whose main character is Pulcinella from the commedia dell'arte:
Hypothesis: Gillot was a manager after the fourteenth century.