If your daughter made a handwritten notation on the lease for the unit that she is now occupying after the landlord had signed the document and the landlord did not initial this handwritten notation, then the landlord is not obligated as to the terms of the handwritten notation.The handwritten notation does not invalidate the lease in and of itself. There is just no agreement regarding what is stated in the handwritten notation by your daughter.If your daughter wishes to move out of the unit she is renting and if the rental term is more than a month-to-month, then she can do the following:1. refuse to sign the new lease that the landlord wants her to sign and be bound by the terms of the lease in effect;2. enter into a new lease agreement where she is on a month-to-month  term or a term that she desires;3. enter into an agreement with the landlord where the lease she signed is deemed ended and she has no further obligation as to term and she can move out by an agreed upon date.Good question.