Since she has lived there along with you she is considered a resident. However, since yours is the only name on the lease, you are her landlord and she is a periodic (month to month) tenant.
So you have go through formal eviction proceedings. Check with your local housing court for the exact procedure. But generally you will need to give her notice that you are terminating her tenancy. You may need to give one full rental period as notice. If she refuses to vacate when the deadline ends, you will need to file in court for an eviction order. This will involve a hearing where the eviction order will be given. If she still refiuses to leave, you will need to hire a sheriff to physically remove her.
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