Damariz is a distinctive girls' name in United States, ranking #4989 in 2006 with 28 recorded births. The name reached its all-time peak in 2006 with 28 births ranking #4989. Since 1996, the popularity has increased by 86.7%. In 2006, approximately 1 in every 67,895 girls born was named Damariz. FALLING Recent data shows the name is currently falling.