The supreme Mugwump himself could be a main character. He might have his own backstory, motives, and goals that drive the story forward.
Another possible main character could be a new student at Hogwarts who has a special connection to the Mugwump. This student could be from a different magical culture that has a long - standing relationship with the Mugwump. They could bring a fresh perspective to the story and help Harry and his friends in ways they didn't expect.
Hermione would surely be involved. She could be Harry's research partner, helping him find relevant medical information in books and scrolls. Her intelligence and thirst for knowledge would be very useful in exploring new areas of medical magic. Another character could be Madam Pomfrey. She could be Harry's mentor, teaching him the basics of wizarding medicine and guiding him in his new role as a medic.
One possible main character could be a Martian elder who takes Harry Potter under their wing and helps raise him. This Martian elder could have special knowledge about the planet and its hidden magic that they pass on to Harry.
Hermione could be a main character. She would probably be very involved in helping Harry with the baby, using her vast knowledge of magic to ensure the baby's well - being.
Well, first off, Ursula is an obvious main character as she is related to Harry in this fanfiction. Then there's Hagrid. He has always been there for Harry and would likely play a role in helping Harry deal with this new situation. Neville could also be an important character. He might be one of the few who initially believes in Harry and doesn't immediately turn his back on him because of his new identity. And then there are the Weasley family members. They might be a bit hesitant at first but would eventually come around to help Harry as they have always been a big part of his life at Hogwarts.
I think Dobby could be an important character. Since Harry is raising himself, Dobby might take it upon himself to secretly help Harry. He could provide some food and small comforts when Harry is all alone. Another character could be Hedwig. She would be more than just a pet; she could be Harry's only true companion, helping him in small ways like delivering messages or even warning him of danger.
The dragon, of course, is a major character. It could be named something unique like 'Fyrstorm'. There might also be Hermione and Ron. Hermione would probably be worried about the legality and danger of raising a dragon, while Ron might be both scared and a bit excited about it.
Maybe some of the Hogwarts professors could be involved. For example, Professor McGonagall could be concerned about Harry's new situation and offer her guidance. There could also be some descendants of previous island owners or caretakers who have their own interests in the island. They could either be friends or foes to Harry, adding more complexity to the story. Additionally, some magical creatures native to the island could be almost like characters themselves, interacting with Harry in unique ways.
One interesting plotline could be the Mugwump's role in an alternative version of the wizarding world politics. Maybe they are more involved in mediating between different magical communities, like the centaurs and the wizards.
Hermione would surely be there. She might be a fellow professor, teaching a subject like Transfiguration or Ancient Runes. She could be Harry's confidante and help him with academic matters at Hogwarts. Also, Ron could make an appearance, perhaps as a visiting lecturer from time to time, sharing his knowledge of wizarding chess and other aspects of wizard culture.
His child, of course. Depending on the story, the child could be a young boy or girl. If it's a boy, he might be eager to learn magic from his father and get into all sorts of mischief at Hogwarts when he's old enough. If it's a girl, she could be more interested in the magical creatures and want to follow in Hagrid's footsteps.