The first female / Lilith

In the first creation story, God creates "Adam" male and female at the same time in his image. (Note that creation starts with creating opposites: darkness / light, evening / morning, upper waters / lower waters, land / water; but they are endpoints on a scale: evening-morning, sky below clouds-fog, shoreline.)

(כו) וַיֹּ֣אמֶר אֱלֹקִ֔ים נַֽעֲשֶׂ֥ה אָדָ֛ם בְּצַלְמֵ֖נוּ כִּדְמוּתֵ֑נוּ וְיִרְדּוּ֩ בִדְגַ֨ת הַיָּ֜ם וּבְע֣וֹף הַשָּׁמַ֗יִם וּבַבְּהֵמָה֙ וּבְכׇל־הָאָ֔רֶץ וּבְכׇל־הָרֶ֖מֶשׂ הָֽרֹמֵ֥שׂ עַל־הָאָֽרֶץ׃ (כז) וַיִּבְרָ֨א אֱלֹקִ֤ים ׀ אֶת־הָֽאָדָם֙ בְּצַלְמ֔וֹ בְּצֶ֥לֶם אֱלֹקִ֖ים בָּרָ֣א אֹת֑וֹ זָכָ֥ר וּנְקֵבָ֖ה בָּרָ֥א אֹתָֽם׃

(26) And God said, “Let us make humankind in our image, after our likeness. They shall rule the fish of the sea, the birds of the sky, the cattle, the whole earth, and all the creeping things that creep on earth.” (27) And God created humankind in the divine image,
creating it in the image of God—
creating them male and female.

(ז) וַיִּ֩יצֶר֩ ה' אֱלֹקִ֜ים אֶת־הָֽאָדָ֗ם עָפָר֙ מִן־הָ֣אֲדָמָ֔ה וַיִּפַּ֥ח בְּאַפָּ֖יו נִשְׁמַ֣ת חַיִּ֑ים וַֽיְהִ֥י הָֽאָדָ֖ם לְנֶ֥פֶשׁ חַיָּֽה׃ (ח) וַיִּטַּ֞ע ה' אֱלֹקִ֛ים גַּן־בְּעֵ֖דֶן מִקֶּ֑דֶם וַיָּ֣שֶׂם שָׁ֔ם אֶת־הָֽאָדָ֖ם אֲשֶׁ֥ר יָצָֽר׃

(7) God ה' formed the Human from the soil’s humus, blowing into his nostrils the breath of life: the Human became a living being. (8) God ה' planted a garden in Eden, in the east, and placed there the Human who had been fashioned.

(יח) וַיֹּ֙אמֶר֙ ה' אֱלֹקִ֔ים לֹא־ט֛וֹב הֱי֥וֹת הָֽאָדָ֖ם לְבַדּ֑וֹ אֶֽעֱשֶׂה־לּ֥וֹ עֵ֖זֶר כְּנֶגְדּֽוֹ׃

(18) God ה' said, “It is not good for the Human to be alone; I will make a fitting counterpart for him.

The Alphabet of Ben Sira uses verse 18 as the jumping off point to explain why creating male and female at the same time from the same substance fails miserably. (There are many other Midrashim and Talmud discussions and folk tales about Lilith; e.g.,Shabbat 51b, Rabb/ei Nachman of Breslov's Sichot HaRan 65:1.)

Otzar Midrashim, The Aleph Bet of ben Sira (alternate version)34:
... He said to him, "The angels appointed for healing: Sanoy, Sansanoy, Semangalof. When the Holy Blessed One created the first Adam alone, They said, (Genesis 2:18) 'It is not good for this Adam to be alone.' They created for him a wife out of the Earth like he had been, and called her Lilith. Immediately they began to challenge each other. She said, 'I will not lie below,' and he said, 'I will not lie beneath you, but only on top. For you are fit only to be in the bottom position, while I am to be the superior one.' Lilith responded, 'We are equal to each other inasmuch as we were both created from the Earth.' But they would not listen to one another. When Lilith saw this, she pronounced the Ineffable Name and flew away into the world's air. Adam stood in prayer before his Creator and said, 'Sovereign of the universe! The woman you gave me has run away from me.' Immediately, the Holy Blessed One sent these three angels to bring her back. The Holy Blessed One said to Adam, 'If she agrees to come back, good. If not, she must permit one hundred of her children to die every day.' They departed and pursued her, and overtook her in the midst of the sea, in the mighty waters wherein the Egyptians would ultimately drown. They told her God's word, but she did not wish to return. The angels said, 'We shall drown you in the sea.' She said to them, 'Let me be. I was created only to cause illness to infants. I have dominion over them for eight days after birth if they are male, and if female, after birth for twenty days.' When the angels heard Lilith's words, they insisted on taking her. But she swore to them by the name of the living and eternal God, 'Whenever I see you or your names or your forms in an amulet, I will have no power over that infant.' She also agreed to have one hundred of her children die every day. Accordingly, every day one hundred demons perish, and for the same reason, we write their names on the amulets of young children, and she sees them, she remembers her oath, and the child is healed."

All about Eve

In the second creation story, Adam's side becomes a woman, whom he later names Chava (Eve). She is created to be a "fitting counterpart"; the Hebrew, Ozer C'negdo, could be translated as a helper against or opposite or facing or in front of him.

(כ) וַיִּקְרָ֨א הָֽאָדָ֜ם שֵׁמ֗וֹת לְכׇל־הַבְּהֵמָה֙ וּלְע֣וֹף הַשָּׁמַ֔יִם וּלְכֹ֖ל חַיַּ֣ת הַשָּׂדֶ֑ה וּלְאָדָ֕ם לֹֽא־מָצָ֥א עֵ֖זֶר כְּנֶגְדּֽוֹ׃ (כא) וַיַּפֵּל֩ ה' אֱלֹקִ֧ים ׀ תַּרְדֵּמָ֛ה עַל־הָאָדָ֖ם וַיִּישָׁ֑ן וַיִּקַּ֗ח אַחַת֙ מִצַּלְעֹתָ֔יו וַיִּסְגֹּ֥ר בָּשָׂ֖ר תַּחְתֶּֽנָּה׃ (כב) וַיִּ֩בֶן֩ ה' אֱלֹקִ֧ים ׀ אֶֽת־הַצֵּלָ֛ע אֲשֶׁר־לָקַ֥ח מִן־הָֽאָדָ֖ם לְאִשָּׁ֑ה וַיְבִאֶ֖הָ אֶל־הָֽאָדָֽם׃ (כג) וַיֹּ֘אמֶר֮ הָֽאָדָם֒ זֹ֣את הַפַּ֗עַם עֶ֚צֶם מֵֽעֲצָמַ֔י וּבָשָׂ֖ר מִבְּשָׂרִ֑י לְזֹאת֙ יִקָּרֵ֣א אִשָּׁ֔ה כִּ֥י מֵאִ֖ישׁ לֻֽקְחָה־זֹּֽאת׃ (כד) עַל־כֵּן֙ יַֽעֲזׇב־אִ֔ישׁ אֶת־אָבִ֖יו וְאֶת־אִמּ֑וֹ וְדָבַ֣ק בְּאִשְׁתּ֔וֹ וְהָי֖וּ לְבָשָׂ֥ר אֶחָֽד׃

(20) And the Human gave names to all the cattle and to the birds of the sky and to all the wild beasts; but no fitting counterpart for a human being was found. (21) So God ה' cast a deep sleep upon the Human; and, while he slept, [God] took one of his sides and closed up the flesh at that site. (22) And God ה' fashioned the side that had been taken from the Human into a woman, bringing her to the Human. (23) Then the Human said,
“This one at last
Is bone of my bones
And flesh of my flesh.
This one shall be called Woman,
For from a Human was she taken.”
(24) Hence a man leaves his father and mother and clings to his wife, so that they become one flesh.

Eve eats the forbidden fruit, gives some to Adam, they realize they are naked and feel shame, God shows up and is unhappy and tells Eve that from now on her man / husband shall rule over her.

(טז) אֶֽל־הָאִשָּׁ֣ה אָמַ֗ר הַרְבָּ֤ה אַרְבֶּה֙ עִצְּבוֹנֵ֣ךְ וְהֵֽרֹנֵ֔ךְ בְּעֶ֖צֶב תֵּֽלְדִ֣י בָנִ֑ים וְאֶל־אִישֵׁךְ֙ תְּשׁ֣וּקָתֵ֔ךְ וְה֖וּא יִמְשׇׁל־בָּֽךְ׃ {ס}
(16) And to the woman [God] said,
“I will greatly expand
Your hard labor—and your pregnancies;
In hardship shall you bear children.
Yet your urge shall be for your husband,
And he shall rule over you.”
(כ) וַיִּקְרָ֧א הָֽאָדָ֛ם שֵׁ֥ם אִשְׁתּ֖וֹ חַוָּ֑ה כִּ֛י הִ֥וא הָֽיְתָ֖ה אֵ֥ם כׇּל־חָֽי׃
(20) The Human named his wife Eve, because she was the mother of all the living.

The only time Lilith appears in the Tanach is in Isaiah:

(יד) וּפָגְשׁ֤וּ צִיִּים֙ אֶת־אִיִּ֔ים וְשָׂעִ֖יר עַל־רֵעֵ֣הוּ יִקְרָ֑א אַךְ־שָׁם֙ הִרְגִּ֣יעָה לִּילִ֔ית וּמָצְאָ֥ה לָ֖הּ מָנֽוֹחַ׃

(14) Wildcats shall meet hyenas,
Goat-demons shall greet each other;
There too the lilith shall repose
And find herself a resting place.

Rashi explains:

(ד) לילית. שם שידה:

... (4) lilith The name of a female demon.