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).
Parker climbed for decades and has been a steadily popular name ever since. All-time it's been given to 163,836 U.S. babies, the 94th most common name by sound today, peaking at 7,126 in 2014, with 6,013 in 2025.
Parker has no common alternate spellings by sound.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).