Elyssa is a distinctive girls' name in United States, ranking #800 in 1998 with 265 recorded births. The name reached its all-time peak in 2004 with 273 births ranking #891. Since 1996, the popularity has increased by 14.2%. In 1998, approximately 1 in every 6,668 girls born was named Elyssa. FALLING Recent data shows the name is currently falling.