Damara is a distinctive girls' name in United States, ranking #5485 in 2005 with 23 recorded births. The name reached its all-time peak in 2004 with 48 births ranking #3190. Since 1996, the popularity has decreased by 23.3%. In 2005, approximately 1 in every 80,335 girls born was named Damara. FALLING Recent data shows the name is currently falling.