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).
Vivian has stayed fairly steady in American naming for generations. All-time it's been given to 265,144 U.S. babies, the 146th most common name by sound today, peaking at 5,375 in 2025, with 5,375 in 2025.
By sound, Vivian also includes the spellings Vivienne, Vivien, Vivianne.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).