Elissa is a distinctive girls' name in United States, ranking #784 in 2001 with 302 recorded births. The name reached its all-time peak in 1998 with 311 births ranking #712. Since 1996, the popularity has increased by 12.3%. In 2001, approximately 1 in every 5,962 girls born was named Elissa. FALLING Recent data shows the name is currently falling.