Elissa is a distinctive girls' name in England & Wales, ranking #565 in 2000 with 48 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 108.7%. In 2000, approximately 1 in every 5,691 girls born was named Elissa. FALLING Recent data shows the name is currently falling.