IT was misinformation that connected Genovese to the Tresca slaying. Frank Garofalo of the Bonannos had Galante kill him.

Genovese also may not have been involved in the Vernotico killing. I know Joe Valachi said otherwise, but there's evidence that Vernotico was killer himself and that Valachi just assumed that Genovese did had it done. It turns out that Vernotico and Anna were already divorced when Vernotico was killed. Turns out that a guy named Antonio Lonzo was probably responsible.