[@Wyvin] I am all for characters having dark pasts. But there are a couple of problems with your characters bio. First there is no way the documentation of her existence could be destroyed in the fire. One this is 2040, documentation like that would be in several places (hospital, Social security, mutant registration, schools, doctors, ect.)
I have no problem with her living on the run for a couple of years. But once she collared she would be given to a mutant couple to live with until she was 18 or ready to live on her own. That couple would be very carefully chosen. They would want her to live with them.