You did not read that in Genesis, or anywhere else in the bible. It was Luzifer who wanted to be God and not Eve
Satan shared his lire with eve and she ate..She did indeed want to be as God
Gen 3:6 And when the woman saw that the tree [was] good for food, and that it [was] pleasant to the eyes, and a tree to be desired to make [one] wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat.