Mesha is a distinctive girls' name in United States, ranking #13496 in 2007 with 8 recorded births. The name reached its all-time peak in 1996 with 23 births ranking #4536. Since 1996, the popularity has decreased by 65.2%. In 2007, approximately 1 in every 240,306 girls born was named Mesha. FALLING Recent data shows the name is currently falling.