Damonica is a distinctive girls' name in United States, ranking #12366 in 2001 with 7 recorded births. The name reached its all-time peak in 1996 with 17 births ranking #5589. Since 1996, the popularity has decreased by 58.8%. In 2001, approximately 1 in every 257,223 girls born was named Damonica. RISING Recent data shows the name is currently rising.