Elissa is a distinctive girls' name in England & Wales, ranking #512 in 2007 with 73 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 217.4%. In 2007, approximately 1 in every 4,193 girls born was named Elissa. FALLING Recent data shows the name is currently falling.