The period between 1910 and 1930 for organized crime in NYC is a bit murky because of the ascendance of numerous Italian and Sicilian gangs. There was the Mafia-Camorra War, The Black Hand-White Hand War and the expansion to Chicago. Cola Gentile is on the record for Capone being made by Masseria in '29 and Torrio was never officially made, Yale was made by Masseria before 1920 i want to say. The reality is the after Capone arranged to whack Colosimo and O'Banion, and was allowed to inherit Torrio's operation, he probably was already considered a soldier, .That would justify Masseria giving him a Capodecimo standing in 1929.
The Unione was the predecessor to The Commission, Mike Genna, Joe Masseria, Joe Adonis, Frank Costello, Luciano, Franki Iole were all representatives in the Unione. After Yale whacked O'Bannion, he was rewarded by being elected president of the Unione. By 1924, the Black Hand had become the dominant organization nationally but hadn't yet transitioned to the Mafia, which formed after the end of the Castellammarese War.