I acknowledged the Starr connection to Nash as Nash was a gang member of Starr's early on. The Clell Miller connection is coincidence of name only, there's literally no concrete info on Verne Miller's birth.

Chicago did not control Kansas City in any way during the time of the massacre. Chicago's influence over anything West of the Mississippi came later than the period of time in question.

There's also testimony of a Verne Sankey naming Miller and Harvey Bailey as two of the KC Massacre gunmen. Bailey was a gunman associated with Lazia and Miller.