There is more than one definition of human. The biology definition is based on DNA. There is another definition of human that is based on the mind and disposition. Wolves and poodles are both dogs via DNA, but only one is domesticated in terms of disposition; canine DNA but different brain firmware.
Going from wandering, into civilization, was not due to major changes in the DNA, into another human species. It was all about changes in temperament via the brain and education. Eve was connected to change of temperament. She may have had the same mitochondrial DNA as the earlier pre-humans (wild), but she differed based on the new disposition (domesticated).
The new disposition involved willpower. Willpower, in turn, is not limited to the DNA based instincts. Modern humans can chose unnatural behavior (requires social mops and zoo keepers) and depart from natural DNA based instincts. Eve represents the change when the mind/brain allowed human to use willpower to depart from the DNA. Today the science mind can directly tweak the DNA to create unnatural like designer babies.
The mitochondrial DNA could be misleading in terms of the temperament change from prehuman (wild like the wolf) to human (domesticated) based on disposition and willpower outside the limits of the DNA. Religion came before science and did not base Eve on a chemical standard (DNA) that would not occur until centuries in the future. They could see disposition thousands of years ago.