Jenny is a moderately popular girls' name in England & Wales, ranking #493 in 2002 with 61 recorded births. The name reached its all-time peak in 1996 with 147 births ranking #256. Since 1996, the popularity has decreased by 58.5%. In 2002, approximately 1 in every 4,383 girls born was named Jenny. FALLING Recent data shows the name is currently falling.