I’ll take a stab at starting this.
First, the use of names like “Eve” and “Adam” are probably what makes it hard for people to wrap their minds around these ideas. I really wish they wouldn’t do this. Mitochondrial Eve has nothing to do with the biblical Eve. She was not even the first human woman.
What you need to understand first is what mitochondrial DNA is. Some gross generalizations will follow, just to keep this under 40 pages long.
Inside each of our cells is a nucleus. In that nucleus is DNA. That DNA is what determines how we are made. It determines what colour your eyes are and how tall you are… things like that. But also within our cells are things called mitochondria. These are the power centres of the cell. They make energy so that we can do everything that we do. Mitochondria resemble bacteria more than anything else. They are fundamentally very, very different from all other types of cell in the human body. Similarly, in plant cells, chloroplasts are the power centres, and they also resemble bacteria.
It took a long time to figure out a way for such a thing to have occurred – how could we have bacteria-like cells within our own cells, that function so differently from the way our own cells function? The current theory is that it is a kind of symbiosis – the cell of a very (VERY) early ancestor engulfed a bacteria-like cell, and they each provided the other with something important, such that they thrived better together than either one did apart. We see this in organisms like lichen – a lichen is algae + fungus that work together to thrive.
Ok, our cells contain these bacteria-like cells, mitochondria. Just like bacteria, they contain their own type of DNA, that determines the characteristics of the mitochondria. This DNA is not like the DNA in our nucleus, it is totally separate. Bacteria reproduce asexually, by making perfect clones of each other, and so do mitochondria. So, when more mitochondria are produced in our bodies, they look exactly alike, and they all contain DNA that is exactly alike.
The key – - – - – > Humans reproduce sexually (duh). In terms of our DNA, this means that our offspring receive a cocktail of DNA that is a mixture of the mother’s and the father’s DNA. It is totally unique to the offspring. BUT! The mitochondria of the offspring are ALL inherited from the mother. Think about how big a human egg is, compared with a tiny sperm. Pretty much all that sperm is made of is human DNA and a tail to make it move. But the egg contains a lot of cell material, including mitochondrial DNA. Thus, you received your first mitochondria from your mother, and she received her first mitochondria from her mother. And so on and so on. Not the same individual mitochondria – but they reproduce clonally, so they are indistinguishable from each other.
Well, mostly indistinguishable. There will be, over time, random mutations in the production of new mitochondria (just like there are random mutations in bacteria, that allow them to evolve to be resistant to antibiotics). The rate of mutation is something that we can quantify. Using that rate, and working with samples collected from people of different ethnicity, scientists estimated how long ago the first mitochondria that were enough like ours to have produced our mitochondria over as many generations were inherited. The woman who passed them on is Mitochondrial Eve.
The limitation of this question is that it doesn’t seek to find all the women who were Mitochondrial Eve’s contemporaries, but who didn’t contribute to this line. There would have been many thousands of women alive at the same time (just as there were also many thousands of men) – but we all descended from this one woman, and she was the most recent common ancestor.
You can see how arbitrary a “first” this is… we are sourcing the mitochondrial DNA of the most recent matrilineal common ancestor. This was not the first human, nor was it the most recent common ancestor (who was probably male, as you mention in your details). This explains why Mitochondrial Eve’s mother was not Mitochondrial Eve, nor her mother – because we’re looking for the most recent common ancestor here.
Small-scale analogy – - – - – - > Think of your own family. If you have siblings, then you and your siblings share many “matrilineal common ancestors”: your mother, your grandmother, your great-grandmother, etc. The most recent one is your mother.
Now if you include your cousins in that group, and find your most recent matrilineal common ancestor, you have to go up a generation. Your mother isn’t a common ancestor for both your siblings and your cousins.
Each time you widen the pool of people, you have to go further and further back to find the most recent matrilineal common ancestor. That’s what this is all about.