Elissa is a distinctive girls' name in United States, ranking #737 in 1999 with 305 recorded births. The name reached its all-time peak in 1998 with 311 births ranking #712. Since 1996, the popularity has increased by 13.4%. In 1999, approximately 1 in every 5,816 girls born was named Elissa. FALLING Recent data shows the name is currently falling.