Does anybody on this forum know the PRECISE relationship between the three Cherry Hill Gambino's -- John, Rosario and Joseph -- and Carlo Gambino? Did they perhaps share the same grandfather?

After the Roger Clinton / Rosario Gambino pardon scandal broke, Carlo's son Thomas Gambino denied any relationship with the Cherry Hill Gambino's, as reported by the New York Post on July 1, 2001 =

Members of New York’s Gambino crime family are distancing themselves from the Clinton pardon scandal, calling the former president’s family “low-rent, trailer-park trash.”
Thomas Gambino, 72, son of the late mob boss Carlo Gambino, is fuming at reports his family had something to do with Roger Clinton’s effort to get a pardon for a New Jersey heroin dealer named Rosario “Sal” Gambino, said Michael Rosen, the New York Gambino’s lawyer.
“My client had nothing to do with the low-rent, trailer-park trash politicians who infested our country for the past eight years,” Rosen said.
“There is no connection in any way, shape or form between those [Gambino] people who sought a pardon and my client,” said Rosen. “He doesn’t even know them.”
Thomas Gambino, who was released from prison last year after serving a five-year term for loan-sharking, also does not want to be confused with Rosario Gambino’s son Thomas, who reportedly paid Roger Clinton $50,000 in a bid to get the pardon for his father, currently serving a 45-year prison term for heroin trafficking.
The money was paid to Clinton by a check issued by a telephone firm owned by Rosario Gambino’s children.
Unlike Clinton’s other clients, the Gambinos did get something for their money: Rosario Gambino made a White House list of pardon candidates to be screened by the Justice Department.


However, according to Wikipedia =

Together with his younger brothers Rosario and Joseph, John Gambino formed a faction in the crime family known as the Cherry Hill Gambinos for their country seat in the New Jersey town of that name. Although they were distant cousins of family boss Carlo Gambino, they did not owe him allegiance. They were Sicilian Mafiosi, made men from Palermo, whose father had brought the family to New York in 1964. The Gambino brothers ran the Cafe Valentino on 18th Avenue in Bensonhurst, Brooklyn (later renamed as Cafe Giardino).

The Gambinos hailed from the Passo di Rigano neighbourhood in Palermo, just as the Inzerillo clan, headed by Salvatore Inzerillo. Together the Inzerillo-Gambino Mafia clan formed a transatlantic Mafia family, based in Palermo and New York. The Inzerillo clan had been on the verge of total extermination by Totò Riina and the Corleonesi during the Second Mafia War in Sicily when in 1981 the family boss Salvatore Inzerillo was killed. With the intervention of the Gambinos a deal was worked out that allowed the surviving Inzerillos to take refuge in the US, with the agreement that none of them, or their offspring, could ever return to Sicily. Many went to the New York area and joined forces with the Gambino family. They were dubbed "gli scappati" (the escapees).

And this is what federal court papers had to say =
http://books.google.com/books?id=UnpnlYZOks0C&pg=PA733&lpg=PA733&dq=