Faithful1, Again, Nice chatting with you via PM. Yes, you've basically got it.
In your future articles, remember one thing:
Chicago was not a Dictatorship.
With that concept, you will have more credibility.

Campagna, Ricca, Accardo is correct.
Then: Ricca, Accardo, Giancana.
Then: Ricca, Accardo, Battaglia.
Then: Ricca, Accardo, Alderisio.

Changing of the Guard:

Then: Ricca, Accardo, Auippa, Cerone (include Ricca out of respect. this was only for about 2 or 3 years). Ricca died in 1972.
Then: Accardo, Auippa, Cerone.
Then: Accardo, Carlisi, DiFronzo (Auippa & Cerone in jail)

Among those men, assume greatest respect was shown to the eldest at each time. Chicago was big on respect.

PM me any time.