Genesis 2:18 RSV "Then the Lord God said, "It is not good that man should be alone; I will make him a helper fit for him." 19: So out of the ground the Lord God formed every beast of the field and every bird of the air, and then brought them to man to see what he would call them; and whatever the man called every living creature, that was its name."

That sure does sound as if man was created before the beasts of the field and the birds of the air. It goes on in 20-23 to tell how woman was made from a rib. ( Men really do have the same number of ribs as do women.)

That seems to be fairly clear and must be subjected to some rather extensive spin in order to make it consistent with the other account.