Damara is a distinctive girls' name in United States, ranking #12203 in 2014 with 8 recorded births. The name reached its all-time peak in 2004 with 48 births ranking #3190. Since 1996, the popularity has decreased by 73.3%. In 2014, approximately 1 in every 223,242 girls born was named Damara. FALLING Recent data shows the name is currently falling.