Annessa is a distinctive girls' name in United States, ranking #5837 in 2001 with 19 recorded births. The name reached its all-time peak in 2001 with 19 births ranking #5837. Since 1996, the popularity has increased by 26.7%. In 2001, approximately 1 in every 94,766 girls born was named Annessa. RISING Recent data shows the name is currently rising.