Neave is a distinctive girls' name in England & Wales, ranking #625 in 2005 with 50 recorded births. The name reached its all-time peak in 2014 with 126 births ranking #359. Since 1996, the popularity has increased by 614.3%. In 2005, approximately 1 in every 5,765 girls born was named Neave. FALLING Recent data shows the name is currently falling.