Verenice is a distinctive girls' name in United States, ranking #4668 in 2009 with 32 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 59.0%. In 2009, approximately 1 in every 57,402 girls born was named Verenice. FALLING Recent data shows the name is currently falling.