Verenice is a distinctive girls' name in United States, ranking #2444 in 2002 with 66 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 15.4%. In 2002, approximately 1 in every 27,225 girls born was named Verenice. FALLING Recent data shows the name is currently falling.