In some fanfiction, their daughter could be a powerful force for change in Gotham. She might use her parents' influence and resources in unique ways. For example, she could start a new movement to clean up the city, using her mother's charm and her father's detective skills to expose corruption and bring about real change. This would be a fresh take on the Batman - Catwoman story and add a new layer of depth to the Gotham universe.
Maybe the daughter discovers a secret conspiracy in Gotham that involves both her parents' past enemies. She has to use her unique combination of skills, like Batman's detective work and Catwoman's acrobatic abilities, to uncover the truth. Along the way, she forms her own team of allies, some from the side of the law and some from the fringes.
The Penguin could be a main antagonist. He might see the daughter as a new threat to his criminal operations in Gotham. Since she has the combined skills of Batman and Catwoman, she could easily disrupt his illegal business, like his smuggling operations.
She could be a vigilante like her father, but with a more flamboyant style inspired by her mother. Imagine her swinging through Gotham in a purple and black catsuit, using her wits and combat skills to take down criminals.
She could be different in her appearance as well. Instead of Batman's all - black and intimidating look or Catwoman's skintight black suit, she could have a costume that is a blend of colors, symbolizing her unique position between her parents. Emotionally, she could be less brooding than Batman and less flirtatious than Catwoman. She might have a more empathetic side, trying to understand the motives of the criminals she faces rather than just punishing them.
In this fanfiction, their daughter might inherit Batman's sense of justice and Catwoman's agility. She could grow up torn between the two worlds of her parents. Maybe she'd use her skills to fight crime in a different way than Batman, with a bit more of Catwoman's slyness. For example, she could use her charm to get information from villains before taking them down.
Well, she could be a character who struggles with the duality of her heritage. On one hand, she has Batman's sense of justice and order, but on the other, Catwoman's more fluid view of right and wrong. This internal conflict could be a major part of the fanfic. She might also have her own love interests, perhaps a character who is neither fully on the side of the law like her father, nor a thief like her mother, adding another layer of complexity to her story.
One scenario in the fanfiction could be that Batman gets jealous when he sees Catwoman flirting with a rich businessman during one of her heists. He might start to question her motives and their relationship. This jealousy could cause him to act out of character, perhaps being more aggressive or possessive towards Catwoman than he normally would be. And Catwoman, being the independent character she is, would not take kindly to this sudden change in Batman's behavior, leading to a rift between them that would be interesting to explore in the story.
A way to develop their relationship in this type of fanfiction is through joint parenting. They might have different approaches to raising their kids. Batman could be very strict about discipline and training, while Catwoman might be more lenient and focus on teaching the kids about the importance of freedom. Through these differences, they learn to understand each other better and grow closer as a couple. Also, they could face external threats to their family which forces them to rely on each other more, strengthening their bond.
She might be very surprised at first. After all, Batman is not one to show his emotions so openly. But then she would likely be overjoyed. She has deep feelings for Batman too, and this proposal would be a confirmation of their complex relationship.
In this fanfiction concept, it could lead to a whole new set of character dynamics. Hermione's intelligence could be seen as an inheritance from the Black family's cunning. For example, she might discover some long - lost Black family magic that helps her in her adventures at Hogwarts. It could also create interesting interactions with Sirius Black, who was Regulus' brother. Maybe Sirius would be initially shocked but then grow to be very protective of Hermione.