Allyson is a moderately popular girls' name in United States, ranking #186 in 1998 with 1,651 recorded births. The name reached its all-time peak in 1998 with 1,651 births ranking #186. Since 1996, the popularity has increased by 35.1%. In 1998, approximately 1 in every 1,070 girls born was named Allyson. FALLING Recent data shows the name is currently falling.