The claim is not supported as a factual statement about human history. Genesis presents Eve as the first woman within a religious creation narrative, but modern genetics, paleoanthropology, and mainstream reference works indicate humans emerged from populations rather than from a single first woman. Confusing biblical Eve with “mitochondrial Eve” is also incorrect, since mitochondrial Eve was not the first woman alive.
Caveats
This statement is only defensible if it is explicitly framed as a religious belief or as "according to Genesis," not as settled historical fact.
Scientific evidence on human origins does not support a single literal first woman or sole first pair in the biological sense.
"Mitochondrial Eve" does not mean the first woman ever; it refers to the most recent woman from whom all living humans inherited mitochondrial DNA.