Could it be that Eboli? I understand it makes you bleed from any opening. Soo it is natural cause or murder? someone is covering up here.
My guess is that it's highly unlikely the man had Ebola.
It is possible that the poor man was coughing so much he burst some blood vessels and bled out. God Bless him, his family and friends.
Bloody sputum can be present in many respiratory illnesses including asthma, bronchitis, pneumonia, Wiskott-Aldrich Syndrome, tuberculosis, etc.