Hampton sits next to 4 phonetic neighbors — Hadley, Halston, and Harlow 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, home farm"
"all-heavenly, completely divine"
"violent storm, tempest"
"stone of Beorhtsige"
"dry, parched (referring to the plants habitat)"
"beautiful, precious"
"lily flower"
"she who understands"
"lake (from Welsh -lyn element)"
"from the green meadow"
"queen, royal woman"
"fertile refuge in a desert"
"beloved, dear"
"Gomeric's mountain or hill"
"youthful, downy"
"beloved one"
"tall, lofty"
"who is like God"
"fairy queen (folk etymology)"
"bitter, beloved"
"miracle, divine"
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.