I gave chapter 1 a read. I have a lot of the same feedback as @DualDragons. I will read more when I have a chance. My biggest bit for feedback is to give the important moments time to shine. We go rapidly from a discussion on the weather to her finding a tenner in her bag. These moments don't scream "magic" to me, more random coincidence. Where I live we have a joke that if you don't like the weather, give it five minutes and it'll change. If her powers start manifesting on her seventeenth birthday, I think it would be interesting to show other instances of her powers manifesting themselves like random machines she turns on as part of her morning routine already on and working to her preferred settings (shower, radio, kettle, curling iron, etc)
Lastly, and this is my personal preference above anything, use description and dialogue to build connections between your characters. I'm not a huge fan of the "wash-list" describing the main character. It doesn't help solidify my connection to the character. But telling me that Elizabeth dyed her hair pink the night before and still isn't used to it, does make her feel more real.
If a character like Grandfather/the Caretaker plays an important role in the story or has a strong relationship to a character, "show" them to us, name them, describe how they take their tea, what are they wearing? In the second half of the chapter, it felt really rushed and confusing to suddenly stop referring to Grandfather as Grandfather. He raised her. Even if he wasn't her biological grandfather, the feelings were real and to change what he's called feels detached.
I hope my comments make sense. I'll be happy to read more when I have a chance.