Eunice is a distinctive girls' name in United States, ranking #1628 in 2017 with 133 recorded births. The name reached its all-time peak in 2004 with 212 births ranking #1082. Since 1996, the popularity has decreased by 26.1%. In 2017, approximately 1 in every 12,977 girls born was named Eunice. FALLING Recent data shows the name is currently falling.