Elissa is a distinctive girls' name in England & Wales, ranking #601 in 2001 with 44 recorded births. The name reached its all-time peak in 2012 with 114 births ranking #407. Since 1996, the popularity has increased by 91.3%. In 2001, approximately 1 in every 6,091 girls born was named Elissa. FALLING Recent data shows the name is currently falling.