Help me out with that.
So, Eve's mitochondria was different than her sisters?
"Mitochondrial Eve" is the fanciful name that scientists have given to the female "latest common ancestor" of all humans. This does not mean that this woman was the only one alive at the time, or that she was the only woman with surviving offspring.
Think of it this way - let's say your extended family has a reunion, with you and all your fourth or fifth cousins. Each one of you has sixteen great-great-great grandmothers, but there is one of those women who was the common ancestor for everyone at your reunion. Of course,
her mother was also a common ancestor to all of you, but there will be one who was the
latest (most recent) common ancestor. Mitochondrial Eve was the latest common ancestor to all humans.
It's a little more complicated because mitochondrial DNA is inherited only from one's mother, not father, so you have to trace all this only looking at the females. Those other women alive at the time of M.E. could have had sons who are our ancestors, but there's not an unbroken chain of females back to those others. Based on looking at the similarities and differences between the mitochondrial DNA of humans around the planet, and knowing the rate that mutations propagate, they've figured out that this latest common ancestor was somewhere around 200,000 years ago.
Like someone else said, this has nothing to do with when humans and chimps last had a common ancestor. Like your great-great-great grandmother's mother, Mitochondrial Eve also was a descendant of the common ancestor between chimps and humans.
Notice that I didn't call it a common ancestor between apes and humans - humans
are apes, so that would be meaningless.