Verenice is a distinctive girls' name in United States, ranking #2963 in 2004 with 54 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 30.8%. In 2004, approximately 1 in every 34,002 girls born was named Verenice. FALLING Recent data shows the name is currently falling.