Burton sits next to 3 phonetic neighbors — Barton, Colton, and Dalton are the closest matches by sound. Most share Burton's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"from the borough farm"
"invented, unique (no established meaning)"
"God is gracious"
"tools of the wizard, instruments of healing"
"from the sea"
"God is salvation"
"goodness"
"running (speed)"
"God has heard (via Sam = Samuel)"
"spear ruler"
"friendly people"
"small songbird, finch"
"son of the sea, great tide"
"combination of strong/complete and my God is Yahweh"
"possessing goodness; gift"
"unbranded one, free spirit"
"little fire"
"venerable, revered"
"title of honor (from Titus)"
"shield rim"
"life, living existence"
Similar sound: These names share phonetic patterns with Burton — 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 Burton.
Rhythm: Burton is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.