Don't forget to include the deaths from yellow fever, typhoid, the plague, small pox, venereal diseases, ruptured appendixes, infected wounds, dehydration from the flu, child birth, untreated diabetes, cancer, heart disease, blood pressure, etc., etc.
And the most overlooked modern medical care that saves many lives...dentistry.
Some people certainly lived to ripe old ages in the past, but not nearly as many as today, and it is not just a matter of infant deaths.