Hello Silly Lady Blue,
It is possible that someone with SZ can function well enough to live on their own. A person who cannot live on her own could live in a supported residence, where the agency/landlord takes a third of her income in rent, or some other such payment is arranged.
It really depends on the person, yet the goal should be to live as independently as possible. I lived in a halfway house, and then an apartment program, and now I've lived on my own for the past 15 years.
The main thing is, while your daughter lives with you, she should be cleaning her own room and cooking meals and doing laundry, and helping out. All this would help her get ADL Skills- Activity of Daily Living Skills. You should also take her grocery shopping so she is aware how much things cost and what a routine transaction at a store is like.
By the way, there are people with SZ who own co-ops and have mortgages, so there's a spectrum of living arrangements for people with this illness.
It is definitely possible for us to live independently.
Regards,
Christina