Elissa is a distinctive girls' name in United States, ranking #712 in 1998 with 311 recorded births. The name reached its all-time peak in 1998 with 311 births ranking #712. Since 1996, the popularity has increased by 15.6%. In 1998, approximately 1 in every 5,681 girls born was named Elissa. FALLING Recent data shows the name is currently falling.