Darci is a distinctive girls' name in England & Wales, ranking #855 in 2006 with 35 recorded births. The name reached its all-time peak in 2009 with 70 births ranking #551. Since 1996, the popularity has increased by 288.9%. In 2006, approximately 1 in every 8,550 girls born was named Darci. FALLING Recent data shows the name is currently falling.