Solid line = floor (spellings that unambiguously belong to the group). Shaded band up to the dashed edge = ceiling (the most it could reach if every ambiguous spelling counted here).
Saul has been climbing in recent years. All-time it's been given to 55,744 U.S. babies, the 636th most common name by sound today, peaking at 1,231 in 2006, with 1,108 in 2025.
By sound, Saul also includes the spellings Sol.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).