Hersh sits next to 4 phonetic neighbors — Hirsch, Hershel, and Hersch are the closest matches by sound. Most share Hersh's Yiddish/Germanic-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"deer, stag"
"kind birth"
"of the mountains, mountain dweller"
"wolf-like, fierce hunter"
"fire, light of God"
"descendant of the spirited one"
"modern American coinage (rhyming name family)"
"powerful, warrior"
"increasing, growing, abundance"
"God is gracious (via Hans/John)"
"fortune, chance"
"of the forest, woodland dweller"
"spear warrior, ancient one"
"enduring, steadfast"
"place name: town in Pembrokeshire, Wales"
"lord, master (via Kyrie element)"
"gift of God (from Armenian/Hebrew Zaven)"
"healer, physician"
"honorable"
"speckled, or from the bridge settlement"
"earthworker (as short for George)"
Similar sound: These names share phonetic patterns with Hersh — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Yiddish/Germanic origins, giving them the same cultural heritage as Hersh.
Rhythm: Hersh is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.