Jeny is a distinctive girls' name in United States, ranking #8086 in 2005 with 14 recorded births. The name reached its all-time peak in 2005 with 14 births ranking #8086. Since 1996, the popularity has increased by 16.7%. In 2005, approximately 1 in every 131,978 girls born was named Jeny. FALLING Recent data shows the name is currently falling.