The Mafia–Camorra War was a gang war in New York City that lasted from 1915-1917. On one side was the originally Sicilian Morello crime family of Manhattan; on the other side were gangs originally from Naples and the surrounding Campania region, based in Navy Street in Brooklyn and Coney Island referred to as the Camorra. The fight over the control of the New York rackets started after the killing of Giosue Gallucci, the undisputed King of Little Italy, and his son on May 17, 1915. The trials that followed in 1918 completely smashed the Camorra gangs; the protection that they enjoyed was demolished from the testimonies of their own men. It was the end of the Camorra in New York and the rise in power of American-based Sicilian Mafia groups

Similar sitation occurred in Chicago during Prohibition and even before that. In fact from the 1910s until the late 1920s a lot of non-Sicilian gangsters arrived from Brooklyn to Chicago, including Torrio, Vanella, Esposito, Capone, Volpe, Campagna, the Fischettis etc. By 1931 Capone tookover the Sicilian Mafia in Chicago

Weather or not the Camorra was actually an organized gang at this point in early New York history has come into question over the years. I'll try to find the posts or the article I read regarding the subject today.

The Camorra was never a centralised organization. It has always been a loose confederation.

in 1800 it was centralised and hierarchical, but that kind of camorra was dismantled in the early 1900

But its obvious that some groups still remained organized and I believe that Torrios organization during the 1920s was very similar to the Camorra. We also know that his successor Capone was made by the Mafia and probably went through a traditional Sicilian ceremony but we dont know if he continued with those same rituals while being the boss, since many of his successors didnt. So lets say that even if Capone was previously a legit Camorrista, still he had to be made into the Sicilian Mafia so he can be considered a made member by the National CN organization. So this easily brings the theory that some type of organized group of Camorristi or non-Sicilians managed to take over the Mafia organization in Chicago. For example, Capones second in command Paul Ricca was probably a Camorra member back in Italy, including his whole family. On top of that, Ricca was close to Diamond Joe Esposito, another non-Sicilian who was made in the Chicago Mafia, and also to Vito Genovese in New York who in turn was the same case. Although I still cant find evidence on whether Ricca was made by the Mafia or Capone, but still there are a lot of evidences that these non-Sicilians completely transformed the Mafia in Chicago, including its own traditions and rituals, something which would've been possibly done by someone who previously belonged to another similar crime organization. Blackmobs already made a nice point, meaning the Sicilian Mafia had its own "Governo Centrale" but the Camorra did not and so they were forced to join the Sicilian organization and some who were more violent such as Capone,managed to take it over in different cities or areas.