Elicia is a distinctive girls' name in England & Wales, ranking #557 in 2002 with 53 recorded births. The name reached its all-time peak in 2002 with 53 births ranking #557. Since 1996, the popularity has increased by 130.4%. In 2002, approximately 1 in every 5,045 girls born was named Elicia. FALLING Recent data shows the name is currently falling.