"Variant of Veronica"
The name Weronika is commonly a female name from the "French" origin.
Weronika is the Polish form of Veronica; Polish orthography writes the sound that English spells with V as W. It is an established name in Polish and appears as a headword in Polish name dictionaries, so its presence in United States records from 1993 reflects an existing European name rather than a modern coinage.
Veronica means "The truth".
The pronunciation of Weronika is veh-roh-NEE-kah.