How can this be accurate, I mean in 1900 we didn't have the knowledge to accurately diagnose the cause of the death?
People get sick, they go to the doctor, they get diagnosed, and then they die. Whatever they were last sick from, that's what killed them. A lot of the illnesses on the 1900 list are not really going to have been hard for a 1900 doctor to diagnose. The doctor says you've got the flu or influenza or pneumonia, you probably do.
So the 1900 list is probably pretty accurate.
Edit: Imagine the credibility of a doctor not to at least say: [This is why.]