Molli is a distinctive girls' name in United States, ranking #3351 in 2001 with 41 recorded births. The name reached its all-time peak in 2014 with 63 births ranking #2769. Since 1996, the popularity has decreased by 14.6%. In 2001, approximately 1 in every 43,916 girls born was named Molli. FALLING Recent data shows the name is currently falling.