Brick wall help - Philip Steiman (1887 Lithuania - 28 Oct 1933 Boston)

I’m seeking help breaking through a brick wall: Philip Steiman (1887-28 Oct 1933 Boston) of Worcester, MA. Birthplace likely Lithuania.

My second-great-grandmother was Bessie Paul née Shteiman (1854 Skapiškis, Lithuania - 5 May 1929 Chelsea Massachusetts). I have been trying to connect with many Steiman/Steinman/Shteiman/Shteynman DNA matches. The LitvakSIG/JewishGen Steiman records are pretty good so I have made a lot of headway on my branch but been unable to find the siblings or parents of Philip.

Philip's headstone has no Hebrew text or father's name, and I haven't found a memorial plaque anywhere. https://www.findagrave.com/memorial/96666004/philip-steiman

However, his daughter Sarah Hilda Sack née Steiman (14 Mar 1900 London - 25 Sep 1973 Medford MA) does have a burial record identifying her father as "Lippa" or ליפע which I think could also be Lieb.

Sarah and her brothers William (1 Mar 1902 - 14 Feb 1987 Shrewsbury MA) and Joseph (1904-1943) were all born in London, and arrived in 1904/1905 per their census records. So it should be possible to find a ship manifest but so far I have failed. Sarah arrived as "Sora Hinka Steiman" per her immigration declaration.

Philip and his wife Ida Bushkin (1884 - 1956 Worcester MA) had 11 children. The records for those children are accessible and I believe I have exhausted them. I have also been in touch with several of his grandchildren and none of them know his Yiddish name or the names of his siblings or parents.

Based on the strength of the DNA matches, it seems possible Philip was the nephew of my second-great-grandmother Bessie or conceivably her brother. But I have not found anything yet connecting them. I doubt the connection was further than first cousin/first cousin once removed. So if we can find Philip's parents, that may be enough to link them to the rest of the family.

Bessie's parents were Shlioma Abram Shteyman (1822-) and Rochka (maiden name unknown) (1825-). I have not found any of Bessie's siblings either.