Hermione sits next to 4 phonetic neighbors — Hermia, Harmony, and Heloise are the closest matches by sound. Most share Hermione's Greek-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"wellborn, of noble stock"
"mountain nymph"
"princess, queen"
"lion, lion of God"
"beautiful"
"light, bright, shining"
"noble natured"
"truthfulness, sincerity"
"peace"
"heavenly, celestial"
"I see the sun, sun goddess"
"beloved"
"farmer, earth-worker"
"the other Aenor / bright one"
"God is gracious"
"sunny, full of sunshine"
Similar sound: These names share phonetic patterns with Hermione — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Hermione.
Rhythm: Hermione is a 4-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.