Damarys is a distinctive girls' name in United States, ranking #7819 in 2007 with 16 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 128.6%. In 2007, approximately 1 in every 120,153 girls born was named Damarys. STABLE Recent data shows the name is currently stable.