What are the consequences for the adulteress, the mother, the two adulterers, and the child in this situation, and what is the ruling of Islam on each of them?

Incest is a grave crime and a great sin. The mother who killed her daughter for committing fornication made a grave mistake, but she is not to be killed in retribution for it, due to the Hadith: "A father is not killed for [killing] his son," and the mother is among the parents.