Molli is a distinctive girls' name in United States, ranking #2354 in 1997 with 57 recorded births. The name reached its all-time peak in 2014 with 63 births ranking #2769. Since 1996, the popularity has increased by 18.8%. In 1997, approximately 1 in every 30,538 girls born was named Molli. FALLING Recent data shows the name is currently falling.