Burgin sits next to 4 phonetic neighbors — Bergen, Birkin, and Burgess are the closest matches by sound. Most share Burgin's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"from Burgundy, France"
Similar sound: These names share phonetic patterns with Burgin — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have French/Norman origins, giving them the same cultural heritage as Burgin.
Rhythm: Burgin is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.