Hamilton sits next to 4 phonetic neighbors — Harrison, Hammond, and Camden are the closest matches by sound. Most share Hamilton's Scottish cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"flat-topped hill settlement"
"rock (from city of Tyre)"
"fictional Fire Nation prince name"
"little warrior, of Mars"
"my God is Yahweh"
"beloved of God, beloved of Yahweh"
"beloved, dear one"
"earth"
"bright fame"
"son of Tay"
"gray-haired one from the valley"
"modern phonetic creation"
"place at the bow-shaped hill"
"son of Hudde (son of Hugh)"
"healer"
"possibly derived from Kevin (gentle birth)"
"creative phonetic variant of Kaizen"
"the koa tree (strength)"
"hill"
"dedicated to Mars"
Similar sound: These names share phonetic patterns with Hamilton — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English/Scottish origins, giving them the same cultural heritage as Hamilton.
Rhythm: Hamilton is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.