Damesha is a distinctive girls' name in United States, ranking #11558 in 2003 with 8 recorded births. The name reached its all-time peak in 1996 with 18 births ranking #5328. Since 1996, the popularity has decreased by 55.6%. In 2003, approximately 1 in every 228,381 girls born was named Damesha. FALLING Recent data shows the name is currently falling.