Elissa is a distinctive girls' name in England & Wales, ranking #508 in 2003 with 63 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 173.9%. In 2003, approximately 1 in every 4,423 girls born was named Elissa. FALLING Recent data shows the name is currently falling.