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).
Enrique is now well below its former popularity. All-time it's been given to 61,494 U.S. babies, the 1,014th most common name by sound today, peaking at 1,542 in 2000, with 517 in 2025.
Enrique has no common alternate spellings by sound.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).