George "Babyface" Nelson became one of the most important gangsters of 1930's Chicago by making brutal robberies. In order to compete with Al Capone, he allied himself with John Dillinger.George "Babyface" Nelson became one of the most important gangsters of 1930's Chicago by making brutal robberies. In order to compete with Al Capone, he allied himself with John Dillinger.George "Babyface" Nelson became one of the most important gangsters of 1930's Chicago by making brutal robberies. In order to compete with Al Capone, he allied himself with John Dillinger.