Eunice is a distinctive girls' name in United States, ranking #1546 in 2011 with 142 recorded births. The name reached its all-time peak in 2004 with 212 births ranking #1082. Since 1996, the popularity has decreased by 21.1%. In 2011, approximately 1 in every 12,386 girls born was named Eunice. FALLING Recent data shows the name is currently falling.