She might have a great relationship with her mother, Hermione. Hermione would surely pass on her wisdom and knowledge to Lizzie. Lizzie could look up to her mother and seek her advice often.
Well, in some fanfictions, Lizzie might go on magical adventures just like her mother. She could be exploring new spells or traveling to different magical realms. Maybe she discovers a hidden part of Hogwarts that no one knew about before.
In such fanfictions, we might see Hermione having a different kind of connection to knowledge. Since Athena is the goddess of wisdom, Hermione could have an even deeper understanding of magic and its history. For example, she might be able to decipher ancient spells more easily or have insights into the origins of magic that others don't. This could also change her relationships with her friends. She might become more of a leader, guiding Harry and Ron with her enhanced wisdom.
Another aspect to expect is a new set of relationships. Maybe she'll have some sort of connection to Greek demigods or other mythological creatures. This could lead to some exciting crossovers in the story. For instance, she could meet a Greek demigod who helps her with a particularly difficult magical task.
One idea could be that Hermione is raised in secrecy by someone who knew Voldemort's true identity but didn't want her to follow his dark path. She discovers her true parentage through a series of mysterious events, like finding an old diary of Voldemort's that reveals secrets. Then she has to struggle with her own identity, whether to embrace the part of her that is related to Voldemort or completely reject it and continue to fight for good.
Yes, there are some interesting ones out there. Some fanfictions explore how Hermione's life would be different if she was Regulus' daughter. They might incorporate her natural intelligence as being a trait passed down from Regulus. These fanfictions often create new storylines within the wizarding world, such as how she discovers her true heritage and how it impacts her relationships with other characters like Harry and Ron.
One common theme is identity. Hermione has to grapple with who she really is, being the daughter of Regulus. Another is family secrets. Discovering that she is Regulus' daughter means there are likely many things she doesn't know about her family. And then there's the theme of legacy, as she has to decide how to carry on Regulus' name and any unfinished business he might have had.
Maybe the plot could revolve around Lizzie's magical abilities. She could inherit unique magical skills from both Hermione and Draco. For example, she might have Hermione's brilliant academic approach to magic but also Draco's natural aptitude for some darker arts (not in an evil way, but in a more complex understanding). This could lead to her getting into trouble with the school authorities as they misunderstand her intentions. And she has to prove that she's using her abilities for good, perhaps by solving a mystery that threatens Hogwarts.
She might face a lot of internal conflict. On one hand, she has been raised with the values of Gryffindor, like courage and justice. But on the other hand, she has this dark heritage. This could lead to a really interesting character arc where she has to constantly battle her inner demons. For example, she might be tempted by the power that her relation to Voldemort could potentially bring, but she has to resist it to stay true to herself.
She could be very determined. If she sets her mind on something, whether it's winning the House Cup for her house or solving a mystery in the Forbidden Forest, she won't give up easily. Her determination could come from Hermione's never - say - die attitude and Draco's single - mindedness when he wants to achieve something.