Jenny is a moderately popular girls' name in England & Wales, ranking #409 in 2001 with 76 recorded births. The name reached its all-time peak in 1996 with 147 births ranking #256. Since 1996, the popularity has decreased by 48.3%. In 2001, approximately 1 in every 3,526 girls born was named Jenny. FALLING Recent data shows the name is currently falling.