Origin of The Doors' band name:

Aldous Huxley's book "The Doors of Perception"
Huxley's title was in turn inspired by William Blake's poem of the same name.
Source: The Gazette (Montreal), 12/9/1993

 
   
  Date The Doors' Jim Morrison suffered a fatal heart attack in a Paris bathtub:

July 3, 1971
On July 3, 1971, Morrison's body was discovered by his girlfriend Pam Courson in the bathtub of the apartment they had borrowed at 17 Rue Beautreillis.
Source: AP, 2/24/1991