These were tumultuous times and at least two of Hymen's sisters (Sarah and Rose) were imprisoned for revolutionary activity, and young Hymen's attentions were no doubt on more interesting matters than his dead mother's relatives.  Hymen left Borisov for New York in 1914, when he was twenty years old, following his sisters Rose (1907), Sarah (1910) and Sadie.  He was fortunate at that because WWI broke out while he was at sea and immigration routes were virtually closed until after the war, by which time Russia had become the USSR.
 

This listing of Sadie's being in the US before Rose is curious, because on Sadie's 1916 death certificate, it says she had been in the US for five years.  But more on that certificate later.

The passenger list for Rochel/Rose is here and she is on line 24.
 

The death certificate is unusual in that there is no space for spouse's name nor is there a space for informant, and in fact we don't know who would have provided any personal information here.  The anonymous informant seems to have been quite unreliable!  The mother's name "Yetta Lichtman" is clearly in a different handwriting - an interesting point the significance of which I have not determined.

At this point, my intuition begins to work and it seems to me that Sadie's mother's name was more likely LICHTERMAN, not Lichtman.  And that Sadie and her husband Zisal Lichterman were cousins of a sort.  There were Lichtermans in Borisov and in New York and it would be interesting to see if any of the NY-Borisov Lichterman graves indicate that they are Leviim.  I will have to find some New York help on that, both to identify the people and to find the graves.

Hymen would likely have known that Sadie and her husband were cousins, but no one asked him that when we were making first inquiries, during his lifetime.  Nor would he have necessarily remembered that when years later he was asked his mother's maiden name.
 

We do not have a passenger list for Sadie. 
 

Nonetheless, Raymond knew Sarah's family from Russia.  Though he was from Dolginov, we have a photograph of him, taken by a photographer in Borisov.  (I wondered why he would have been there as a teenager, and Harold Gordon the son of Raymond's brother Frank said "chasing the girls, like all the Gordon men.")  According to family lore, Raymond courted Sarah's sister Rose, but she wouldn't have him. 
 

My guess is that Sarah said she was going to her cousin and that her cousin was not "J. Ben..on" but his wife.
 

Several years later, Gittel Benenson's sister Elke (aka Alice) would marry Louis Jaffe's brother Zalman.  Zalman took the name Louis and he and Alice used the name Lichterman, rather than Jaffe.  Alice and Louis/Zalman have a living daughter who has been cooperating with this inquiry, with George Jaffe's daughter as an intermediary.
 

Elke Lichtermann entered the US via Ellis Island (line 5) on 20 February 1911.  Her nearest relative in her place of origin is her father Joseph Lichterman and she was going to her brother J. Lichterman, 507 New Jersey Avenue, Brooklyn, which is quite near her by-now-married sister Gittel.

I do not see Ellis Island entries for A. Kaplowitz or J. Lichterman.
 

I see a listing in the Social Securitry Death Index (SSDI) for Nathan Lichterman from NY who died in March 1963.  I need to find where he is buried and see if his stone mentions "Levi."

David's grave has no stone.

Alice's grave has no information.

Gittel's grave is a "normal" Jewish grave, but there is no indication that her father is a Levi.
 

In the course of this search, I saw the name Lunie Rosenblum, who arrived at Ellis Island 7 August 1911 at age twenty-five. For some reason I had a look at that passenger list and was surprised to find that she listed her nearest relative in her country of origin as her father Srul Rosenblum.  I was even more surprised to see that she was going to her sister Liebe Rosenblum on Madison Street in New York.  Could there be another sister we never knew of?  Hardly likely!

It took a few minutes until I realized that this was the step-sister Sonie - the daughter of Israel David's second wife from her first marriage.  I didn't know she ever went to the US, nor did I imagine that she went by Rosenblum.  (Her brother did go to NY and he was called Jack Bandis, but we never found a trace of him.)  Sonie apparently returned to Russia, because we know that she was there in the late 1920's.  She married a man named Resnikov and had two children - Avraham and Bela.  My information - from Russian records in Penza - is that they would have been born 1911-1913, but surely not if she was in New York and unmarried at the time.  A puzzle for another occasion.