When was Eve first called Eve?
The text indicates she was not called Eve until after the fall. Before that, she was simply referred to as a woman. It was after the fall that she became Eve. The context ties this to the creation order and God's design for the home.
Les teaches that she wasn't even called Eve until after the fall. That was when she became Eve, instead of simply being referred to as a woman. He explains that God created Adam with Eve within him, and later took that part of Eve out of Adam and created the woman, giving Adam his complement. The order of the sexes originated at creation, not as a modern phenomenon. God created the man to be the head of the woman because she was created next, and that was God's ordained way for the home and family. It holds to this day because God never rescinded it. Les emphasizes this does not make the man a slave master or his wife a gopher; she is a helpmate and complement.