ASV notes on Genesis 2:18-25
God says in verse 18 that for a man it is not good to be alone. A man needs a woman to share his life with, without her he is only half himself. The man and woman are not equal parts, they are different, but they fit together by some adjustments.
In 19, God formed from the ground all living as He formed Adam, except Eve, she was not formed of the ground, she was taken from Adam, she was of him, and they belonged to each other. God made Eve for Adam, like if a boy looks for a wife today, be patient thrust in God, there is someone waiting for you and God will find her and pick the place and time.
Adam gave name to all the living on earth and he didn’t use the same name twice, he remembered all of them. At the time of Adam the people were smart and intelligent, we are not of the level of Adam today, the humans have not developed, they have degenerated. We need God more than ever.
Eve had the same kind of bones as Adam and the same kind of flesh, Eve was taken from Man and that is the reason (verse 24) a man when he marries a woman shall leave his parents and stay with his wife on their own. They need time alone to find out that they fit perfectly together.