Ainsworth sits next to 3 phonetic neighbors — Ainsley, Wordsworth, and Ellsworth are the closest matches by sound. Most share Ainsworth's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"From the homestead of Aegen; Old English place-name surname"
Similar sound: These names share phonetic patterns with Ainsworth — 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 Ainsworth.
Rhythm: Ainsworth is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.