Verenice is a distinctive girls' name in United States, ranking #2328 in 2001 with 69 recorded births. The name reached its all-time peak in 2000 with 81 births ranking #2051. Since 1996, the popularity has decreased by 11.5%. In 2001, approximately 1 in every 26,095 girls born was named Verenice. FALLING Recent data shows the name is currently falling.