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).
Louis has stayed fairly steady in American naming for generations. All-time it's been given to 703,817 U.S. babies, the 169th most common name by sound today, peaking at 9,003 in 2007, with 3,879 in 2025.
By sound, Louis also includes the spellings Luis.