Elissa is a moderately popular girls' name in England & Wales, ranking #476 in 2002 with 64 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 178.3%. In 2002, approximately 1 in every 4,178 girls born was named Elissa. FALLING Recent data shows the name is currently falling.