Damesha is a distinctive girls' name in United States, ranking #13064 in 1999 with 6 recorded births. The name reached its all-time peak in 1996 with 18 births ranking #5328. Since 1996, the popularity has decreased by 66.7%. In 1999, approximately 1 in every 295,630 girls born was named Damesha. FALLING Recent data shows the name is currently falling.