Elissa is a distinctive girls' name in England & Wales, ranking #583 in 2005 with 56 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 143.5%. In 2005, approximately 1 in every 5,147 girls born was named Elissa. FALLING Recent data shows the name is currently falling.