Yes and she isn't crazy to want to die, she is likely very much tired of being petrified for 2000 years just like Silas was. The difference is that she never had his mental powers that could grow as the years went by.
I doubt Silas died, Katherine didn't die when Silas drank her blood so why would they kill off Silas that quickly. It would have been way too easy. This show has a tendency to go with extraordinary killings for important people.