The two women created by God: Eve and Lilith

"Then God said, "Let Us make man in Our image, according to Our likeness; and let them rule over the fish of the sea and over the birds of the sky and over the cattle and over all the earth, and over every creeping thing that creeps on the earth. And God created man in His own image, in the image of God He created him; male and female He created them."] Genesis 1

And then in Genesis 2:

And out of the ground the Lord God formed every beast of the field, and every fowl of the air; and brought them unto Adam to see what he would call them: and whatsoever Adam called every living creature, that was the name thereof.  And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field; but for Adam there was not found an help meet for him. And the Lord God caused a deep sleep to fall upon Adam, and he slept: and he took one of his ribs, and closed up the flesh instead thereof; And the rib, which the Lord God had taken from man, made he a woman, and brought her unto the man. And Adam said, This is now bone of my bones, and flesh of my flesh: she shall be called Woman, because she was taken out of Man. Therefore shall a man leave his father and his mother, and shall cleave unto his wife: and they shall be one flesh.

So which is it, did God make them both at the same time, male and female?  Or did he make Adam and then had pity on him being alone?  Some believe that there is a third answer and that God did it both ways at two different times.  Meaning that there were two women who were created by God, the first one created alongside and with Adam in one act of creation as described in Genesis 1.  That woman and Adam had a falling out and left Adam along in Eden going out into the world by herself, and that is when God felt sorry that Adam was along and made his another woman from his rib.

According to midrashic literature, Adam's first wife was not Eve but a woman named Lilith, “At the same time Jehovah created Adam, he created a woman, Lilith, who like Adam was taken from the earth. She was given to Adam as his wife. But there was a dispute between them about a matter that when it came before the judges had to be discussed behind closed doors. She spoke the unspeakable name of Jehovah and vanished.”

It seems that the big different between Adam and Lilith was how to fuck, they both wanted to be on top.  “Adam, as a way of asserting his authority over Lilith, insisted that she lie beneath him during sexual intercourse (23 A-B). Lilith, however, considering herself to be Adam's equal, refused, and after pronouncing the Ineffable Name (i.e. the magic name of God) flew off into the air.” 

Adam pissed off both because he had no one to fuck and that she would not bow to his will ask God to intervene, so God sent three angels, named Senoy, Sansenoy, and Semangelof, who found her in the Red Sea.  They threaten Lilith that one hundred of her sons would die every day, she refused to return to Adam, musta been a whole lot of fucking going on before she got pissed off enough to leave.  Well she refused to go back to him making some sort of deal with the angles, and God made Adam a new woman from his own rib so he could be the dominant one and have sex missionary style.

“Lilith also personified licentiousness and lust. In the Christian Middle Ages she, or her female offspring, the lilim, became identified with succubae (the female counterparts of incubi) who would copulate with men in their sleep, causing them to have nocturnal emissions or "wet dreams."”  Through the literature of the Kabbalah, Lilith became fixed in Jewish demonology where her primary role is that of strangler of children and a seducer of men. The Kabbalah further enhanced her demonic character by making her the partner of Samael (i.e. Satan) and queen of the realm of the forces of evil.”

Through her couplings with the devil (or with Adam, as his succubus), Lilith gave birth to one hundred demonic children a day (the one hundred children threatened with death by the three angels). In this way, Lilith was held responsible for populating the world with evil. If you ask how Lilith herself, the first wife of Adam, became evil, the answer lies in her insubordination to her husband Adam. It is her independence from Adam, her position beyond the control of a male, that makes her "evil."

“Lilith is referred to only once in the Old Testament. In the Darby translation of Isaiah 34:14 the original Hebrew word is rendered as "lilith"; according to Isaiah, when God's vengeance has turned the land into a wilderness, "there shall the beasts of the desert meet with the jackals, and the wild goat shall cry to his fellow; the lilith also shall settle there, and find for herself a place of rest." The same word is translated elsewhere, however, as "screech owl, "night creatures," "night monsters," and "night hag." 

Now I do not know the truth of any of this, but it does explain the two different stories regarding the creation of Adam and Eve in Genesis 1 & 2.

Everything is quotation comes from Christopher L.C.E. Witcomb writings, and a like to his page is in the first comment below.