The mother is her own fraternal twin.
This story is mind-bending. In the over 40 years since I became a scientist, I never came across anything like the two cases I'll tell you about. Let's start with a woman, Karen Keegan, in her 50s, who needed a kidney transplant. Her husband & two of her sons had been tested to see if they might be compatible donors. It was during this process that it was discovered that these two sons were not genetically related to Keegan, despite the fact that they were her own children she had given birth to. Keegan's third son, who was too young to be a kidney donor, was then tested. As it turned out, he was a DNA match.
In 2002, a young mother named Lydia Fairchild in Washington state applied for financial assistance after separating from the father of her children. The state required genetic tests to support the claim, but as it turned out, this was the start of a legal & scientific journey that surprised everyone. The maternity test was not a match, suggesting that the mother was not biologically related to her own children—children, mind you, that she definitely remembered giving birth to. When the DNA results indicated Fairchild was not biologically related to her children, the first recourse for lawyers & social workers was to accuse her of lying, thus committing welfare fraud. The children were clearly related to their father, Jamie Townsend, so Fairchild must not have been truthful about her relationship with him.
DNA evidence was considered uncontestable—it didn't matter that Townsend confirmed Fairchild's story or that she could produce photographs of herself with the children throughout their lives. At the time, she was due to give birth to her & Townsend's third child, so a court officer was reportedly ordered to be present to physically witness the delivery. DNA testing on that child told the same story: the child was a genetic match for the father but not for Fairchild. Not understanding how the DNA evidence could possibly be misleading, the judge in the case maintained that some sort of deception must have been happening on the part of Fasiorchild. However, the evidence was enough to convince lawyer Alan Tindell to represent her. Swabs from Fairchild's cervix revealed a DNA lineage that matched her children, whereas DNA collected from her cheek, hair, skin & blood produced a negative result. That's when Fairchild's mother also put forward samples that proved to be a biological match as the children's maternal grandmother. The case against Fairchild was eventually dismissed, and the whole affair of Fairchild & Keegan has prompted a reckoning with the reliability of DNA evidence in the U.S. legal system.
So what is going on here? It turns out that both these mothers were chimeras. The word "chimera" comes from Greek mythology: a creature made of a lion, a goat & a serpent. Biology borrowed the term to describe organisms made of mixed origins, in these cases, the mothers'. It all started with Fairchild and Keegan's mothers, who had two eggs that were ready to be fertilized at the same time. After having sex with their partner, each egg was fertilized by a different sperm. Two fraternal embryos began to grow, but instead of becoming twins, the embryos fused into one baby. One baby was born (one being Fairchild and the other, separately, Keegan). So inside the moms, some tissues came from Embryo A & some tissues came from Embryo B. This created a chimera—a person with two DNA identities—explaining the confusion of DNA matching for their children. A DNA test using her blood (Embryo A) says, "You are not the mother." But she is! The test just sampled the source to confirm DNA inside her. When her cervix was sampled, it came out as a positive match. The DNA of Fairchild's reproductive tract came from Embryo B, one of two fraternal embryos that fused to form her.
Chimerism is extremely rare—estimated at less than 1 in a million. There have been only a few dozen confirmed cases in medical literature. Chimerism breaks the rules that every cell in your body has the same DNA. In forensics & the law, chimerism confuses maternity/paternity tests, & in medicine, it complicates donor matching. For biology, it reveals early human embryos are more flexible than we assumed. Cell lineages can intermix in surprising ways. "One genome per person" is not a universal rule. The incidents do not mean a twin pregnancy; it's just one person with two genomes, hence the term "tetragametic"—2 eggs & 2 sperm. Each egg still only gets one sperm (there's no egg being fertilized by two sperms)—that would be lethal. Instead, you have two normal fertilizations happening side by side—the unusual part is the fusion of the two embryos afterward. Chimerism happens to one child at a time. It's a one-off developmental accident.