Jessyca is a distinctive girls' name in United States, ranking #5680 in 2005 with 22 recorded births. The name reached its all-time peak in 1996 with 67 births ranking #2070. Since 1996, the popularity has decreased by 67.2%. In 2005, approximately 1 in every 83,986 girls born was named Jessyca. FALLING Recent data shows the name is currently falling.