Over the past 110 years, 5 girls and 45 976 boys have been named Weston. The name Weston ranks 19734th in the United States among the most common names for girls. For the first time more than ten times newborns were named Weston in 2004. The peak of popularity of the name Weston came in the 2000s. You can see absolute numbers and relative numbers on the chart. Indicators per 100K more accurately assess the popularity of the name.