Damara is a distinctive girls' name in United States, ranking #5462 in 2010 with 25 recorded births. The name reached its all-time peak in 2004 with 48 births ranking #3190. Since 1996, the popularity has decreased by 16.7%. In 2010, approximately 1 in every 71,093 girls born was named Damara. FALLING Recent data shows the name is currently falling.