I have numerous vital records from New York City where names of people who never left Poland or Russia were given Americanized names by the informant.
My favorite is when my gggm Gitel became Susie.
Searching: RATOWSKY / CHAIMSON, Arliogala (Rogala), Lith.
WALTZMAN / WALZMAN, Ustrzyki Dolne (Istryker), Pol.
BOJDA / BLEIWEISS, Tarnobrzeg, Pol.
LEFFENFELD / LEFENFELD, Daliowa, Pol.
SOLON / SOLAN / SOKOLSKY, Grodek (Bialystok)