Darci is a distinctive girls' name in England & Wales, ranking #715 in 2014 with 55 recorded births. The name reached its all-time peak in 2009 with 70 births ranking #551. Since 1996, the popularity has increased by 511.1%. In 2014, approximately 1 in every 5,576 girls born was named Darci. FALLING Recent data shows the name is currently falling.