Excuse the answer in English:
[Edit: I have just gone back and looked more carefully at the document images you provided. I realize I confused Krasnoyarsk with Krasnogorsk. Much of my reasoning is based on Krasnogorsk, so the following may not make so much sense.]
First, Girsh Davidovich Steiman is absolutely a Jewish name.
Although the entries in the JewishGen Latvia and Lithuania databases don't establish an identity for Girsh Davidovich Steiman, it seems to me that there is sufficient evidence to claim that these are likely family members.
I have found in the compilation of Riga House Registers (Fond 2942 in Raduraksti) made by Ruvin Farber, Center for Judaic Studies, University of Latvia, an entry for David Steimann. This looks very much like it might be Girsh's father. David Steimann was born 12 Aug 1865 in Ezeren, Lithuania. There is no place called Ezeren in Lithuania. But Ezherene is the Yiddish name for Zarasai, Lithuania which, from 1836 to 1918, was known as Novo-Alexandrovsk, in Krasnogorsk krai, Kovno gubernaya [Lithuania]. Girsh's отчетная карточка lists Krasnogorsk. Many of the entries for Steiman in JewishGen databases, including the All Russia census of 1897, point back to Novo-Alexandrovsk as place of origin.
Back to the Riga House Registers. The first entry for David in them was made on 19 Sep 1923. He is listed as a Latvian subject, widower, living at Lacplesa 58-6. In November of that year, he was struck off the register when he moved to the small town of Livani, just north of Daugavpils.
He returned to Riga, registering on 6 Aug 1936 with the address, Lacplesa 114-37, but this time listed (likely correctly) as a Lithuanian citizen. He left again, rather quickly, on 3 Oct 1936 for a place unknown. At this point he disappears from the records I've seen.
In 1934, Riva Steimann, a single woman, Lithuanian citizen, born in 1890 was registered living in Riga at Lacplesa 48/50-26. She resided there until her death on 8 April 1939. She is of the right age to be Girsh's sister.
For some sheer speculation, I see two scenarios for people who might plausibly be direct ancestors of Girsh Davidovich based on entries from Dvinsk (Daugavpils) in the All Russia census:
1) the oldest person surnamed Steiman is 70 year-old Yankel from Novo-Alexandrovsk, the son of Hirsh. It's not unreasonable to conclude that Yankel may been an uncle of David Steiman (if not his father) and that Hirsh (Girsh) was the great grandfather after whom Girsh Davidovich was named.
2) there is a 48 year-old Movsha Steiman, also living in Dvinsk. His father was Hirsh, and he too was from Novo-Alexandrovsk. Movsha could plausibly be David's brother, with Girsh Davidovich named after his late grandfather, Hirsh.
Finally, I looked in ПРОЕКТ ЕВРЕИ ЛАТВИИ 1941-1945:ИМЕНА И СУДЬБЫ. It immediately became clear that the name Steinman (with an "N" in the middle) is sometimes used as a variant for Steiman. Bear this in mind as you do your research. Looking back, I see that even in the All Russia census, a father was Steiman, and his son (in a different household at the same address) was Steinman. In the this database there are at least 60 entries for victims of the Holocaust from Riga and Dvinsk who were surnamed Steiman or Steinman. But I found no connection to Girsh Davidovich.
Food for thought.
New York City
Thanks a lot! An excellent database, but again I did not find anything :( Maybe he wasn’t a Jew at all, but Orthodox (for example) ?! He was
terribly happy when they found a card at RGASPI - at least a small amount of information, but in the end he didn’t bring anywhere.