Verenice is a distinctive girls' name in United States, ranking #3174 in 2006 with 53 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 32.1%. In 2006, approximately 1 in every 35,869 girls born was named Verenice. FALLING Recent data shows the name is currently falling.