You might want to look for a Slovenian surname spelling that sounds like we pronounce cherry.

I found this with Svete=Sweet (U.S.) and Ticar=Teacher (U.S.). Unless the imigrant new how to spell, some of these names were written as they sounded to whoever was recording them as they entered the US and registered at various locations.

I don't know that it would necessarily mean that they took the name Cherry because of the meaning of the Slovenian surname.

Mary