Verenice is a distinctive girls' name in United States, ranking #7123 in 2012 with 18 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 76.9%. In 2012, approximately 1 in every 97,819 girls born was named Verenice. FALLING Recent data shows the name is currently falling.