Eunice is a distinctive girls' name in United States, ranking #1588 in 2019 with 134 recorded births. The name reached its all-time peak in 2004 with 212 births ranking #1082. Since 1996, the popularity has decreased by 25.6%. In 2019, approximately 1 in every 12,519 girls born was named Eunice. FALLING Recent data shows the name is currently falling.