Note that I’m not asking where/when the hamburger was invented, I want to know where and when was the first time a time traveller could make a recognizable Big Mac without any major substitutions. Bonus points if they can also access fries and a coke.
This might not fully answer your question, but a few years ago u/Turtledonuts wrote about something similar: Would it have been possible for a roman citizen around 1 A.D. to obtain everything needed to make a Cheeseburger, assuming they had the knowledge of how to make one?