Should I block off a friend who lied about a death of another friend?

I have this friend with some serious issues. I’ve done my best to help him overcome this. I haven’t heard from him in a while.
About a couple months ago I got a text from another friend telling me that he died. I was completely devastated. However, about two months ago I saw him at the mall!
I tried to call the friend who told me about his supposed death. She never returned my calls nor has she made any attempt to contact me. I believe I deserve an apology from her, but I’m not sure if I should completely cut her off. What do you think?