Update: This has now been solved. I am now in touch with the Avidon family and we have worked out the relation.
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This image is noted as being 'cousins Matthew and Kenneth Avidon.' These were passed on from my great grandfather's sister's side of the family, the Greenshpoons, who asked if I knew of them. The image was taken by a studio based in Feodosiya on the Black Sea in what was then Crimea but now the Ukraine. To the rest of the world it was all simply 'Russia'. An older Matthew was photographed with Itta's husband alone, later on in life, again Matthew was noted as being a 'cousin', so this indicates that the Avidons were likely his nephews rather than being related to the Zam family. Avidon is quite an uncommon name, so I have been able to find out that Matthew left the Ukraine and arrived in New York in 1922. He states he was from Feodosiya, where my family, the Zams, were also from. Matthew married Rose Tapo and had two sons, John and Kenneth born 1936 and 1937. They seemingly spent time in Queens, NY, Illinois briefly, and later Florida. There are still Avidon descendants in the U.S. today and I believe that John or Kenneth had a son they also named Matthew Avidon who is still alive. I am posting this in the hope that there is someone out there who can make the connection as to which female sibling of either the Greenshpoon or Zam family married an Avidon.