Elissa is a distinctive girls' name in United States, ranking #788 in 2002 with 299 recorded births. The name reached its all-time peak in 1998 with 311 births ranking #712. Since 1996, the popularity has increased by 11.2%. In 2002, approximately 1 in every 6,009 girls born was named Elissa. FALLING Recent data shows the name is currently falling.