Thanks all. Will be taking your advice and getting an attorney to get this settled.
To make sure commentators have the correct data:
Her lease expires on 6/7/14 with no legal right to remain. She has breached to covenants of the lease by denying a landlord inspection per the lease, in separate sections. Her rent was due on 6/1 and has not yet been paid so she is default for rent payment. She has been asked nicely over the past month to cooperate, but continues to state the same thing, "I will use my security deposit in lieu of last month's rent, I will not show the property while in it, and I will stay until the end of June."
After trying everything to accommodate her, the strategy is now:
3 Day Notice of Cure Breach in the lease for inspection or Quit
3 Day Notice of Pay or Quit for late peyment
Lease terms are defined that lease expires on 6/7/14 and there is no month to month allowance or extension permitted so she must vacate.
I have 2 prospects waiting for the home that are waiting to place 2x month rent for the security deposit, $3600, plus pay $1800/mth going forward.
All this said, if the current tenant has no place to move to with her family and children, I have given instructions to the attorney to accept an additional security deposit of $1000 cash, a cash payment for the remainder of the month at a 30% increase and a newly signed lease that terminates on 6/30 with no possible opportunity of extension or reversion to a month to month.
Based on her broker and property management experience, as well as concern for her personal credit score which was 760, it is my belief that being served with 2 - 3 Day Notices of Default and that an attorney has been engaged, she will decide to either cure the defaults and move on 6/7, or find the cash, sign a lease for 23 days with payment and then move on the 30th.
Wanted to make sure all had the details plus the facts that as a landlord I feel a responsibility to my tenants and their tenants, hence the opportunity to extend, but also that to get the opportunity they need to be held accountable. Needs to be a mutual relationship. I am not chest thumping, nor being a door mat, but instead giving her the opportunity to make the right decision.
Thanks again to all for your valuable guidance, insight, and honest feedback!