Kay

“I am not saying that only Adam or men named their children. Naming to a hebrew indicates authority, therefore Eve had authority over her kids. Likewise Adam was in authority over his wife.”
Mark,
Do you think Naomi was taking authority over herself when she changed her name to Mara? (Ruth 1:20)

Don’t you think God already had authority over Abram and Sarai when He changed their names to Abraham and Sarah.

Naming had other purposes besides showing authority in Hebrew culture.