Police are investigating the death of a baby boy in Saint Joseph this morning. The mother told police that she, a four year old, and the two-month old baby had been sleeping together. She woke up to find the baby cold and limp. Paramedics tried to revive the victim at the home in the 11-hundred block of South 33rd Street. The baby died later at Heartland. Detectives are investigating. An autopsy is scheduled this afternoon to assist in determining the cause of death.