Damara is a distinctive girls' name in United States, ranking #7418 in 2009 with 17 recorded births. The name reached its all-time peak in 2004 with 48 births ranking #3190. Since 1996, the popularity has decreased by 43.3%. In 2009, approximately 1 in every 108,051 girls born was named Damara. FALLING Recent data shows the name is currently falling.