Princess at hogwarts

This was a story i read and it hasn't been finished yet so, i decided to take my own spin on it and actually finish it. It is about a girl called Kalliope Ione Acantha Lachesis who is from the muggle royal family, she was kept a secret from society due to her scandalous conception. Two questions she has always asked is 'who is her father?' and 'why does her hair change colour?'.