Darren,

Szram would simply be a Slavicized spelling of the same surname as Schramm, so in Volhynian records you would need to search under both spellings. By the same token, I occasionally have to search for "Sziller" or "Szyller" instead of "Schiller" -- it's still the same name, it's just that a few of the records were written with the Slavic spelling instead of the German one.

At any rate, I don't see an Adolf Schramm in the Lutsk books for 1903 either. But I ran a search in sggee.org's VKP database (which only goes up to about 1900 right now, but a project to get it up to 1913 is underway) as well, and while it doesn't recored any children being born to a Joseph Schramm/Pauline Fischer at all, it does have three births (two in Antonowka) whose parents are listed as Joseph Schramm and Pauline BARTEL: Carl (24 Apr 1888), Johann (2 Mar 1898) and Pauline (23 Mar 1896).

So that might just be an unrelated coincidence, but it might also be that you had the wrong surname for Adolf's mother.