Damara is a distinctive girls' name in United States, ranking #6616 in 2008 with 20 recorded births. The name reached its all-time peak in 2004 with 48 births ranking #3190. Since 1996, the popularity has decreased by 33.3%. In 2008, approximately 1 in every 94,536 girls born was named Damara. FALLING Recent data shows the name is currently falling.