Verenice is a distinctive girls' name in United States, ranking #2996 in 2003 with 51 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 34.6%. In 2003, approximately 1 in every 35,825 girls born was named Verenice. FALLING Recent data shows the name is currently falling.