Was John Wayne's mother the Unsinkable Molly Brown?

No, John Wayne's mother was not the Unsinkable Molly Brown. The Unsinkable Molly Brown, whose real name was Margaret Brown, was a famous socialite and philanthropist known for her survival of the Titanic disaster. John Wayne's mother was Mary "Molly" Brown, who was a homemaker and not connected to the Titanic or the fame associated with the Unsinkable Molly Brown.