Barrington sits next to 3 phonetic neighbors — Warrington, Harrington, and Carrington are the closest matches by sound. Most share Barrington's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"settlement of Barra's people"
"Long meadow or clearing in the woods"
"old friend, noble strength"
"rock, stone"
"of the mountain"
"Of the forest; made of wood"
"of Europe, the wide land"
"steward; son of the gray man"
"wild boar"
"bright; swift"
"bright, shining warrior"
"From Evreux, Normandy; of the people of the yew tree"
"people's ruler"
"new house, new home"
"work + power"
"Little saint; diminutive form of Santo"
Similar sound: These names share phonetic patterns with Barrington — 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 Barrington.
Rhythm: Barrington is a 4-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.