Here's what we know:
* Aesop himself lived in ancient Greece, sometime between 620 and 564 BCE.
* His fables were not originally written by him. They were likely collected and attributed to him after his death.
* The earliest known written collections of Aesop's fables date back to the 1st century CE.
Therefore, it's impossible to say definitively when "The Fox and the Crow" was written. We can only say that it was likely composed sometime between the 6th century BCE and the 1st century CE.