Verenice is a distinctive girls' name in United States, ranking #2396 in 1998 with 59 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 24.4%. In 1998, approximately 1 in every 29,947 girls born was named Verenice. FALLING Recent data shows the name is currently falling.