*Alice May was an agent of Mr. E, being ordered to take on the disguises of the Ghost Girl and later the Obliteratrix, when dealing with Mystery Incorporated. "Alice May" is likely just an alias, with her true name and backstory remaining a mystery.
While mostly a mystery, Alice is generally manipulative with boys she's supposed to like, such as her prom date Randy, and Fred Jones, which she hides behind a sweet and caring facade. She was shown to be cunning and very good at hiding, even telling Freddy that she prefers to walk, so she can work on her plans secretly without his notice.
She claimed that her vendetta against Mystery Incorporated began as a young girl, when she watched her "father" get taken away by the police after the gang unmasked him as the Creeper. From that moment on, she vowed revenge. After revealing her explanation to be a cover, it became clear that her entire story was fabricated by Mr. E and her real history remained unknown.*