Jessa is a distinctive girls' name in United States, ranking #1672 in 2004 with 116 recorded births. The name reached its all-time peak in 2015 with 572 births ranking #545. Since 1996, the popularity has increased by 12.6%. In 2004, approximately 1 in every 15,829 girls born was named Jessa. FALLING Recent data shows the name is currently falling.