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).
Palmer has been climbing in recent years. All-time it's been given to 18,653 U.S. babies, the 508th most common name by sound today, peaking at 1,560 in 2025, with 1,560 in 2025.
Palmer has no common alternate spellings by sound.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).