Elissa is a distinctive girls' name in England & Wales, ranking #531 in 2010 with 75 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 226.1%. In 2010, approximately 1 in every 4,280 girls born was named Elissa. FALLING Recent data shows the name is currently falling.