Pasqualino (Patsy) Lolordo, a notorious member of the Chicago underworld, had a brother named Giuseppe (Joe Lo) Lolordo, who relocated and became a top capo in the DeCavalcante Family of New Jersey.

Interesting

Wasn't the Los Angeles Family some sort of offshoot of the Cleveland Family ?

The Milanos, Jimmy Fratianno and i believe Mike Rizzitiello were all operating in Cleveland initially.

They weren't an offshoot, just like the other West Coast families the majority of their members and associates were not originally from California

Tony Milano's family moved to Los Angeles in the 1940s because of his wife's failing health while Fratianno went at the recommendation of Thomas Licavoli (or at least claims so)

Rizzitello was originally from Montreal and bounced around between the Colombos (Gallo brothers) and the Los Angeles family (Dago Louie Piscopo) before eventually getting busted on robbery/kidnapping charges and doing like a decade in the California state system. After that point he was with the local family for the rest of his life

Joseph Gallo (Colombo) and Albert Gallo (Genovese).

Rizzitiello at some point asked NY for create a separate family,but NY said no. Anyway having no italian presence,the L.A. family survived accepting to made mobsters that shouldnt be made in other families.

The "second family" narrative was something pushed by Craig Fiato, who is not reliable in this regard. Rizzitello had his issues with the Milano faction but it's clear there was only one family in Los Angeles as evidenced by his associates being made or otherwise proposed for membership into it (Comparetti, Nick P. Nardi, Paduano, Fiato to some degree)

As for the rest, it varied per member. Jimmy and Charles Caci as well as Stephen Cino were carried by the FBI as Buffalo members at several points - Jimmy as late as 1983

They were all well respected within the national network whereas on the other hand you had guys like Michael Esposito, who was assaulted on several occasions as a Lucchese associate and then someone like Russell Masetta, who probably would never have been an LCN member if he didn't marry into the Milanos

I believe that NY Gambino soldier Michael (Skinny Mike) Pecoraro was related through marriage to former Gambino members/future Los Angeles Dragna Family members, Marco and Joseph LiMandri.

The DiNapoli brothers, one belonging to the Genovese Family the other one to the Luccheses.

LA's Salvatore Piscope aka Piscopo was sn alleged cousin of Johnny Roselli.

Some say Genovese heavy "Benny Eggs" Mangano was related to Gambino crime family boss Vincent Mangano and Philip Mangano. The brothers were related to the Outfit's "Dago Lawrence" Mangano.

But this hasn't been confirmed.

Mafia Commission Meeting - Cleveland - Ohio - 1928 - Vintage Photo - Quality Print Fourteen Sicilian mobsters arrested at the first known national meeting of the Mafia held in Cleveland in 1928, and hosted by Cleveland mob boss Joe Porrello. Notable are Joseph Profaci (seated in wheelchair), head of what would become New York City's Colombo crime family. Flanking Profaci are Capone representatives Joseph Giunta on the left and Pasquale Lolordo.

Back in the old days many people thought that Chicago's "Dago" Mangano allegedly had ties to the Manganos-Gambinos but as you already said, it seems theres still no evidence regarding any blood relation. Also, im not sure if there were two Phillip Manganos, one being the brother of Lawrence and the other one to Vincent Mangano....again, Im not 100% sure and i have to check my stash.

John (Big John) Misuraca was a top member of New York’s Profaci/Colombo Family. While his brother Pete, and several in-laws, became affiliated with the San Jose, California Family.

Gaetano (Corky) Vastola, of New Jersey’s DeCavalcante clan, had an uncle, Dominick (Swats Mulligan) Ciaffone, who was a veteran soldier in the old Genovese Family of NY.

Joseph (Diamond Joe) Zito, a top member of the Joseph Zammuto Family of Rockford, IL, was the brother of boss Frank Zito and Antonio Zito of the Zito Family, of Springfield, IL.

I believe there are many Mangano's in and from Palermo. Vittorio Mangano comes to mind well known member of the Sicilian Mafia. Since 1965 Mangano had already appeared in the judicial chronicles.

James (Blackie) Licavoli, (he was related as cousins, I believe) to the notorious Licavoli family of Detroit, MI. Originally with the Joe Zerilli Family, he later became boss of the Cleveland, Ohio Family.
-
Vincent (Vinny Ocean) Palermo, a former member of New Jersey DeCavalcante Family. He had a brother, Pasquale Palermo, who became a soldier in New York’s Colombo Family.

Joseph Barbara Sr., was a longtime member, and later, boss of the Pittston, PA/Binghamton, NY Family. His son, Joseph Barbara Jr., became a top member of Detroit’s Joe Zerilli Family.

Toto Riina boss of Corleone family, his brotherGaetano Riina member of Mazara del Vallo (Trapani). I believe in Sicilian mafia, it's recommended to put close family members in different crews/families.

George (Georgie Blair) Smurra was an early soldier of the old Luciano/Genovese Family. Many years later, Henry “Hank the Bank” Smurra, (who I believe may have been a nephew,) became a newly-minted Colombo Family soldier. He was slain during the 3rd Colombo Family internal war.

Andrea "Andy" Sciandra (related, but I forget the exact connection) was connected to the Magaddino Family of Buffalo. While his relative, John Sciandra, whom I believe may have been a nephew, was a founding member of, and later took over, the Santo Volpe Family in Pittston, PA.

Brothers Costenze and Frank Valenti went to Rochester, NY. They were related through marriage (in-laws) to capo Antonio Ripepi of the Pittsburgh Family. It seems that Costenze “Stanley” Valenti had married Ripepi’s daughter.