Mesha is a distinctive girls' name in United States, ranking #7775 in 2005 with 15 recorded births. The name reached its all-time peak in 1996 with 23 births ranking #4536. Since 1996, the popularity has decreased by 34.8%. In 2005, approximately 1 in every 123,180 girls born was named Mesha. FALLING Recent data shows the name is currently falling.