Damara is a distinctive girls' name in United States, ranking #3651 in 1996 with 30 recorded births. This places Damara in the top 23% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2004 with 48 births ranking #3190. In 1996, approximately 1 in every 58,432 girls born was named Damara. FALLING Recent data shows the name is currently falling.