I also have enigmatic Baskins in my tree. My great aunt Fanny married a Joseph Baskin (born abt 1885 in Russia, probably died in New York in 1952 and possibly known in UK as Sam). Their eldest son was named Hyman born 1909 and the second Myer, born in 1910 both born in London UK. Joseph disappeared and I assume went to New York to assess the situation and as far as I can find out never returned to his UK family. Fanny eventually remarried. Could this Joseph be related to your Sholem Baskin. The names are all so similar.
