Legal Question in Landlord & Tenant Law in Illinois

This is very sad; sorry to hear about your son. Unfortunately, just because your son passed away doesn't mean the lease came to an end, so they could be right if rent went unpaid and nobody did anything about it. Also unfortunately, it could cost more to sue the landlord than it might be worth. If you want to make sure you should talk to an attorney and if you don't know one you can check w/ the local bar association that may have a lawyer referral service or legal aid if it is truly a burden.