Genesee is a distinctive girls' name in United States, ranking #9422 in 2010 with 12 recorded births. This places Genesee in the top 47% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2005 with 15 births ranking #7635. In 2010, approximately 1 in every 148,111 girls born was named Genesee. FALLING Recent data shows the name is currently falling.