Tenant passed away

[Debra R.]

My tenant (who was also my neighbor and friend) passed away very unexpectedly.  The emotional issues are hard enough, but are there any legal issues that I should be thinking about?  

One point I'm struggling with is the security deposit.  If I'm able to get a new tenant in on the first then I'll return the deposit to his parents.  But what if I go a month without a new tenant?  On the one hand his family is grieving and I don't want to add any difficulties.  One the other hand, absorbing a $2,000 loss will be difficult right now.  Please give me your insights both legal and moral.