FYI: They would take offense to the term Gaudiya Vaishnava, and one of them even told me so. They don't want Mahaprabhu's movement to be characterized as something exclusive to West Bengali. For that reason, we use the acronoym CV on this site (Caitanya Vaishnavism). I am not sure about the history of the term 'Gaudiya Vaishana' or its origin. It could have started just about anywhere or anywhen, perhaps with IGM.
Thanks for reminding me. Caitanya Vaisnavas is best.