Molli is a distinctive girls' name in United States, ranking #3254 in 2011 with 51 recorded births. This places Molli in the top 17% 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. In 2011, approximately 1 in every 34,486 girls born was named Molli. FALLING Recent data shows the name is currently falling.