Your lease will state that you may incur month to month charges. Did you receive a renewal offer? They may be covered if either above are true. No indication need, unfortunately

Interested live in the navy yard, just moved back to DC

Take this down and remove this young ladies name from your post. You failed to provide ample notice and landlord is entitled damages for the period of sixty days they were unable to market the home. If the home rents as soon as you move out (less their standard prep time) you are entitled to a refund. Assuming you enter a month to month period effective the last day of your lease you can certainly stay for the additional time, however, the pro rated rent will increase to the mtm rate.