Hampton sits next to 4 phonetic neighbors — Hampden, Hamilton, and Compton are the closest matches by sound. Most share Hampton's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"high settlement or estate"
"beauty, ornament"
"to heal (if derived from Jason)"
"little fire"
"selected, chosen one"
"bright-headed warrior"
"resolute protector"
"dear, beloved (associated folk etymology)"
"strong like a boar"
"modern invented name"
"jewel, gem"
"jaybird + euphonic suffix"
"from Clare (Suffolk)"
"that which is true or real"
"famous army, warrior people"
"fair-haired, blonde head"
"qualitative time, the fullness of time"
"famous through noble birth"
"chicken (separate Dutch usage)"
"king, ruler"
"valley of the hares"
Similar sound: These names share phonetic patterns with Hampton — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English origins, giving them the same cultural heritage as Hampton.
Rhythm: Hampton is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.