Jenny is a moderately popular girls' name in England & Wales, ranking #256 in 1996 with 147 recorded births. This places Jenny in the top 5% of ranked UK girls' names for the year. Its actual usage is classified as Moderately Popular. The name reached its all-time peak in 1996 with 147 births ranking #256. In 1996, approximately 1 in every 2,014 girls born was named Jenny. FALLING Recent data shows the name is currently falling.