I agree with Mashiach's post. My ggf's surname was WALTZMAN. When my ggm (who was illiterate) traveled to NY to join him in 1904, the surname was spelled WALDSMANN on the manifest.
This was not because of any "name change" but due to the fact that the name was written the way it sounded to a clerk in Europe, and my ggm could not read the name herself, but relied on verbal communication.
Searching: RATOWSKY / CHAIMSON (Ariogala / Ragola, Lith.)
WALTZMAN / WALZMAN (Ustrzyki Dolne / Istryker, Pol.)
LEVY (Tyrawa Woloska, Pol.)
LEFFENFELD / LEFENFELD (Daliowa/ Posada Jasliska, Pol.)
BOJDA (Tarnobrzeg, Pol.)
SOKALSKY / SOLON FINGER(MAN) (Grodek, Bialystok, Pol.)
BOBISH / APPEL (Odessa)