Lawton sits next to 4 phonetic neighbors — Layton, Colton, and Dalton are the closest matches by sound. Most share Lawton's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"farm on a hill, settlement by a mound"
"Carl's island or stronghold"
"foreigner, one from abroad"
"people's champion"
"divine, holy"
"son of Adam"
"narrow strait (via Kyle)"
"peaceful territory, land of peace"
"from the wealthy estate, prosperous settlement"
"of royal lineage, kingly"
"modern coinage with divine suffix"
"brown-haired warrior"
"fortunate, of good fortune"
"sincere, genuine"
"blue-green color"
"farm by the dragging place"
"man, husband"
"short form of Cameron or Camden"
"possessor of good; wealthy king"
"from Courtenay (place in France)"
"fashionable, manner of doing"
Similar sound: These names share phonetic patterns with Lawton — 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 Lawton.
Rhythm: Lawton is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.