Damara is a distinctive girls' name in United States, ranking #6931 in 2006 with 18 recorded births. The name reached its all-time peak in 2004 with 48 births ranking #3190. Since 1996, the popularity has decreased by 40.0%. In 2006, approximately 1 in every 105,615 girls born was named Damara. FALLING Recent data shows the name is currently falling.