Molli is a distinctive girls' name in United States, ranking #2916 in 2004 with 55 recorded births. This places Molli in the top 15% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2014 with 63 births ranking #2769. Since 1996, the popularity has increased by 14.6%. In 2004, approximately 1 in every 33,384 girls born was named Molli. FALLING Recent data shows the name is currently falling.