Over the past 110 years, 178 boys and 66 018 girls have been named Eunice. The name Eunice ranks 4844th in the United States among the most common names for boys. For the first time more than ten times newborns were named Eunice in 1913. The peak of popularity of the name Eunice came in the 1910s and 1920s. You can see absolute numbers and relative numbers on the chart. Indicators per 100K more accurately assess the popularity of the name.