Roy,

I looked at Benjamin Alperstein's 1920 manifest.  Easy to find by searching "Zanzire" as keyword on Ancestry.  It's the only hit.

You might try searching for records of his friend, Hersh SANDEROWSKI, that he left in "Zanzire."

Benjamin ALPERSTEIN passed on in 1936, and is at Beth David Cem.  His death cert may list a town of birth, or he may be with a landsmanshaftn, which were often shtetl based.

The transcription of his death cert on www.familysearch.org only lists country and not town of birth, but the cert itself may have a town written. 

What about his son, "A. ALPERSTEIN" in The Bronx?  Did he naturalize?  Any of his documents list a town name?

Regards,

Sherri Bobish