Almost every ESP xxxxx based boards take the expressif board as piggyback. The Expressif boards all have expressif (although it's only a few kilobytes if I'm not mistaken)
Take a good look at the chip side of your board... you should see 3 of them.
The big one is the ESP chip in smd form, another small chip, smaller in size, is your USB controller, and there should be a third, sized between the other 2, 8pin dip chip. That's the eeprom.
In the above photo:
Left most is the ESP, middle is eeprom, right is the USB controller