Hello and Welcome to JustAnswer.
It is certainly possible that your wife has some type of dissociative disorder She is not schizophrenic. Those symptoms would be different. It will be very difficult for you to help her unless she wants to accept the help. Dissociative disorders are serious and need long term treatment.
Do you have further questions about this?
Where can I start helping her, identify the disorder, root causes (her father was hitting her when she was a girl) etc.?
She needs to be evaluated by a therapist or doctor who is experienced in trauma. Dissociative disorders usually are a result of trauma occurring in childhood. Please look for a specialist and ask them if they have education, experience and training with dissociative disorders. A proper evaluation by an experienced specialist is the best way to get help for her.