Monserat is a distinctive girls' name in United States, ranking #3916 in 2008 with 41 recorded births. The name reached its all-time peak in 2008 with 41 births ranking #3916. Since 1996, the popularity has increased by 583.3%. In 2008, approximately 1 in every 46,115 girls born was named Monserat. FALLING Recent data shows the name is currently falling.