Elissa is a distinctive girls' name in England & Wales, ranking #678 in 1999 with 35 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 52.2%. In 1999, approximately 1 in every 8,048 girls born was named Elissa. FALLING Recent data shows the name is currently falling.