In Genesis 2: 18-22 we see the majesty of God at work.
God has already created Adam and the animals of the field, the fish of the sea, and the birds of the air. All the other species have mates and the ability to reproduce, but God has left Adam alone among creation. God says himself it is not good that man is alone and God decides to make a helper fit for man.
We see from the ground, just like Adam, God made the beasts of the field and the birds of the heavens. One by one God parades these birds and animals before Adam, allowing him to name each of them.
Upon completion of the naming, God puts Adam asleep and takes one of his ribs. From this rib God made the first woman. She was not made from the soil, but from Adam, so we see Adam refer to her as flesh of my flesh and bone of my bone because she truly was. To this she is called woman, because she was taken out of man. The first woman was not like the other creatures or even Adam. She was created by design as a helper, from Adam and for Adam.
Something significant here that I have always found touching is the missing rib. This is template of marriage as each man and woman, by design, are supposed to stay together so each is made whole. The man, forever short one rib, marries a helper to form one whole being, together. In this way the man is made whole again and completed through marriage to a woman.