Dominica is a distinctive girls' name in United States, ranking #3052 in 1997 with 39 recorded births. The name reached its all-time peak in 1997 with 39 births ranking #3052. Since 1996, the popularity has increased by 34.5%. In 1997, approximately 1 in every 44,632 girls born was named Dominica. FALLING Recent data shows the name is currently falling.