No. Genesis 1 names nobody. It says God created humans, "male and female he created them" (Genesis 1:27). The Hebrew word there, adam, means humankind, people in general. Eve gets her name in Genesis 3:20. Michael Coogan and Cynthia Chapman's Old Testament textbook says adam is first used as one man's name in Genesis 4:25 and in the family list that follows in Genesis 5.
Genesis 3:20 gives the reason for the name: Eve, "because she was the mother of all living." A footnote in the NRSVue translation says the Hebrew name resembles the word for living. A note in a study Bible, the New Oxford Annotated Bible, says that at the start of Genesis 5 (verses 1 and 2), the writer repeats words from chapter 1 to tie Adam the man to the humans of chapter 1.
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