Verenice is a distinctive girls' name in United States, ranking #10204 in 2013 with 11 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 85.9%. In 2013, approximately 1 in every 159,492 girls born was named Verenice. FALLING Recent data shows the name is currently falling.