How does the creature, in the novel Frankenstein, relate to Eve from the Bible?
There are many references to the Bible in Mary Shelley's Romantic novel Frankenstein.
In chapter fifteen of the novel, the creature is telling Victor how he came about questioning his being. It was through the reading of Paradise Lost that the creature first began to understand his biblical ties.
Like Adam, I was apparently united by no link to any other being in existence; but his state was far different from mine in every other respect. He had come forth from the hands of God a perfect creature, happy and prosperous, guarded by the especial care of his Creator; he was allowed to converse with, and acquire knowledge from, beings of a superior nature: but I was wretched, helpless, and alone. Many times I considered Satan as the fitter emblem of my condition; for often, like him, when I viewed the bliss of my protectors, the bitter gall of envy rose within me.
Here, the creature openly admits to his likeness to both Adam and Satan. He is like Adam given he is the first creation of God. Therefore, being the first of his kind (the "son" of Victor), he likens himself to Adam. After this, the creature acknowledges his likeness to Satan. Like Satan, the creature has been exiled. As God exiled Satan from heaven, Victor exiled the creature from his side (another tie to Adam as well).
As for the creature's likeness to Eve, one needs to look for the ties (the creature is not forthcoming with this information). The creature's likeness to Eve comes from the fact that he is the first of his kind to sin. Although Adam was the first man, it was not until Eve offered him the apple that allowed him to sin. Therefore, Eve's sin was the first sin seen in "her kind." The creature, being the first of his kind, murdered William. This murder can be likened to the taking of the apple by Eve.
That said, Victor can also be tied to Eve. His quest for Forbidden Knowledge can be directly aligned with Eve's taking of the apple and eating from the Tree of Knowledge. Through Victor's quest for Forbidden Knowledge (reanimating life),he goes against what God has stated. Eve took from the Tree of Knowledge, even though it was forbidden; and Victor took the knowledge of reanimating life, which God had forbidden.