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).
Jay is now well below its former popularity. All-time it's been given to 201,718 U.S. babies, the 732nd most common name by sound today, peaking at 5,538 in 1960, with 843 in 2025.
By sound, Jay also includes the spellings Jaye. Spellings sometimes heard the same way: Jai.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).