According to his FBI file, Thomas Greco took over Lucky Luciano's crew.
The capo who came before Paul Vario was Salvatore "Don Turi" Curiale. He was the Luchese boss for Brooklyn until he retired in the late 1950s. JD figured this out. Here's his info: Name: Salvatore Curiale Birth: 21 May 1887 Death: Sep 1978 - Brooklyn, Kings, New York, USA Civil: New York