It was not guaranteed that Ash would be able to get a new identity with the name Ash in it or have the same ashen white hair.
There would be differences that she would have to adapt to so that she could make it work, like living under a different name or dyeing her hair a different colour.
Ash would not be the only person who would have to do those kinds of things.
There would be many others in the world who would have to go through those things to fit into their new life under a new identity, whether it was done legally or illegally.
An example would be through more legal routes, where the identities provided to government witnesses under witness protection programs would not be new identities but rather existing identities that would have been modified to protect the witness's safety.
Those modifications would include new names, social security or national identification, birth records, and passports, while the original identity would remain sealed and not be disclosed.
