Elissa is a moderately popular girls' name in England & Wales, ranking #495 in 2004 with 67 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 191.3%. In 2004, approximately 1 in every 4,266 girls born was named Elissa. FALLING Recent data shows the name is currently falling.