In order to avoid possible misunderstandings I make a preliminary remark before answering your question:
The quality of “being in the Image of God” or “Image Bearer” is defined in three Genesis perikopes (1:27; 5:1-2; 9:6) and includes three main aspects:
At the moment referred to in these perikopes God defines the kind of body, both male and female, which is the sign of being in the Image of God.
God bestows Image Bearers with capability of freely loving Him, which entails also the possibility of rejecting Him and accountability for transgressing His Law and sinning.
This moment marks also the definition and beginning of Humanity.
Regarding Point 1: Thereby God defines also which kind of body He prepares for His Son (Colossians 1:15) to incarnate.
Regarding Point 2: Since this moment the specific human body becomes the observable anatomical shape defining a community of creatures God calls to rule their behavior according to moral rules and law (mainly the “Golden Rule”), the observable basis to coherently assign rights, first of all the right to life, as clearly stated in Genesis 9:6. Thereby God defines Humanity and the human body.
Regarding Point 3: I dare to insist once again that there is no way of clearly defining Humanity exclusively by biological means: “It is biologically impossible to establish when the species Homo sapiens begins with anything other than arbitrary criteria.” Humanity begins at the moment God signals the body He wants to make in His Image (Genesis 5:2).
Strictly speaking it is contradictory to call “humans” or “Image-Bearers” creatures existing before the moment God makes creatures in His Image. Before this moment there were no creatures aware of accountability and capable of sinning.
The important rule is the following:
At any time of history according to God’s commandment each Image-Bearer has to respect as Image Bearer with right to life and freedom any creature exhibiting a human body (Genesis 9:6). The Sanctity of Marriage and the “Golden Rule” exclude any community where Image-Bearers and Non-Image-Bearers live together: If a Non-Image-Bearer encountered an Image-Bearer, God provided that the former became immediately an Image Bearer (as the episode of the “sons of God” in Genesis 6:2-4 shows).
I am the first to abhor claiming that "there are humans who are not Image Bearers”. But precisely for the same reason one should avoid suggesting that there were creatures sharing the dignity of Image Bearer (human dignity) before God created creatures in His Image. Such a suggestion opens the door to treat humans as animals and amounts to destroy the foundation of human dignity and law.
This said, I now answer your question with pleasure:
‘Eve’ in Genesis means the first female created in the Image of God, that is, the first Human female: She is obviously an Image Bearer sharing “the state of Original Grace”, and therefore like Adam was NOT created “in need of Redemption”.
Nothing in Christian faith speaks against assuming other Image Bearers in state of Original Grace, who lived in community with the first couple of Image Bearers before the Fall. As I have stated in other posts, I think Melchizedek was such an Image Bearer, who didn’t transgress God’s Commandment and thereby highlights that the primeval Image Bearers were free NOT to sin.
After the Fall God transformed Non-Image-Bearers into Image Bearers (the “sons of god” in Genesis 6:2-4) the same way as He did with Adam and Eve. Nonetheless contrarily to Adam and Eve, after the Fall all Image Bearers are created lacking original Grace (sharing “the state of Original Sin”).