As I was going through 1920 NY soundex entries, I stumbled across the following:
BRONX, New York, 1920 1485 Brook Avenue
TAUBER, Harry, age 45, b. AUSTRIA (!!!) TAUBER, Rachel, wife, 40, b. Russia TAUBER, Freda, dau., 16, b. New York TAUBER, Gertrude, dau., 14, b. New York TAUBER, Lillie, dau., 9, b. New York TAUBER, Minnie, dau., 8, b. New York TAUBER, Helen, dau., 4, b. New York
This seems to be evidence that your Harry [Aharon] Tauber was not from Pultusk, but rather, from Austria [perhaps Vienna?].I've been researching the Taubers from Austria, Hungary, and Moravia, and I'll see if I can match him with any of the Taubers I've found thus far.