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).
Hope is now well below its former popularity. All-time it's been given to 97,793 U.S. babies, the 645th most common name by sound today, peaking at 2,326 in 2000, with 873 in 2025.
Hope has no common alternate spellings by sound.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).