Jennice is a distinctive girls' name in United States, ranking #17997 in 2011 with 5 recorded births. This places Jennice in the bottom 8% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 1997 with 6 births ranking #12767. In 2011, approximately 1 in every 351,761 girls born was named Jennice. FALLING Recent data shows the name is currently falling.