Jenny is a distinctive girls' name in United States, ranking #514 in 2007 with 616 recorded births. The name reached its all-time peak in 1996 with 1,012 births ranking #285. Since 1996, the popularity has decreased by 39.1%. In 2007, approximately 1 in every 3,121 girls born was named Jenny. FALLING Recent data shows the name is currently falling.