Genesis 3:20 NLT
Then the man—Adam—named his wife Eve, because she would be the mother of all who live.
Mother here means biological mother, a female parent (1).
Did you realize that Eve’s first name was Adam?
Genesis 5:2 KJV
Male and female created he them; and blessed them, and called ‘their’ name Adam, in the day when they were created.
Why do you suppose that is? It is because both men and women were created equal in God’s eyes. They were built differently and had different functions, but complemented each other perfectly. God named our first parents by their status. Adam named his wife by her function.
Mother in this verse refers to Eve, the original mother, the first who co-created with Adam and birthed humankind into existence.