Time to move furniture in event of death

A family member recently passed away and I was the next of kin. It's been almost 2 weeks since the death, and about a week since I recieved the key to the apartment from the landlord to move the furniture. The first of the new month came and I have not finished moving everything out yet. I was told I have already met my deadline given to me by the landlord and was told I may possibly be given a slight extension 4 days. If I do not move the things out by then or it is decided I do not get the extension, the landlord said she is going to take all of the things in the apartment including the furniture, keep them, charge for labor, and most likely keep the security deposit. What is the law regarding this type of thing in the event of somebodies death?