Jenny is a distinctive girls' name in United States, ranking #709 in 2009 with 406 recorded births. The name reached its all-time peak in 1996 with 1,012 births ranking #285. Since 1996, the popularity has decreased by 59.9%. In 2009, approximately 1 in every 4,524 girls born was named Jenny. FALLING Recent data shows the name is currently falling.