Perhaps his family consists of a group of fellow banished ninjas who become his surrogate family. There could be a strong - willed female ninja who becomes his partner, and together they have a child. And also an old sage - like figure who acts as the family's wise elder, guiding them through the difficulties of living in exile.
One possible plot could be that Naruto, after being banished, discovers a new place where he starts his own family. He might meet a kind-hearted woman who accepts him for who he is. They could have a child together, and Naruto would be determined to protect his new family from any threats, including those who might still hold a grudge against him from his past in Konoha.
In the 'banished naruto has a family fanfiction', Naruto might be banished and end up on an island. There he meets a group of outcasts like himself. Among them, he finds a partner and they start a family. Their family grows up learning Naruto's ninja ways and they all strive to create a better life on the island, away from the politics and judgment of the ninja world that banished Naruto.
His wife could be an original character created specifically for the fanfiction. She could be a strong - willed healer who helps Naruto when he first arrives in the new place. Their child could inherit Naruto's blond hair and blue eyes, and have a unique combination of Naruto's ninjutsu skills and the mother's healing abilities.
At first, Naruto might be shocked and heartbroken. He has always longed for family acceptance, so being banished by them would be a huge blow. He could feel betrayed and angry, especially if he doesn't understand the reasons behind it.
One possible reason could be fear. The villagers have always feared the Nine - Tails within Naruto. His family might banish him out of this same fear, not wanting to be associated with the potential danger he represents. Maybe they think that by banishing him, they can keep the village safe from the Nine - Tails' power getting out of control.
One idea could be that the daughter has to hide her identity in the village that banished Naruto. She might inherit some of Naruto's unique abilities like his shadow clones. She could use these abilities in secret to help the villagers without them knowing she's related to the banished Naruto.
Well, in this fanfiction scenario, perhaps Naruto's daughter is born with some unique power that was passed down from Naruto's Uzumaki heritage. Naruto, being banished, is determined to keep her safe from the forces that might want to use or harm her. The story could follow their journey as they encounter various challenges and make new allies along the way. They might even form a small community of outcasts who support each other.
In a 'Naruto banished has a child' fanfiction, perhaps Naruto was banished unjustly. His child could be a source of hope for him. The story could involve Naruto passing on his dreams and values to the child. They might journey together to find a new place to call home, and along the way, the child discovers their own unique powers that are a combination of Naruto's and something new. Naruto would be a protective and loving father, determined to give his child a better life than he had.