Hayven sits next to 4 phonetic neighbors — Haven, Heaven, and Raven are the closest matches by sound. Most share Hayven's Old English hæfen-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"safe harbor, place of refuge"
"ship's victory"
"courageous, valiant"
"dark farm, Cole's settlement"
"to measure time (etymological root)"
"new, young, fresh"
"short form of Miranda, worthy of admiration"
"gift from God"
"king's meadow, royal clearing"
"of Mars, warlike"
"pure (via Katherine)"
"honesty, veracity, reality, that which is real"
"olive tree"
"youthful"
"rock, pause and reflect"
"modern invented combination name"
"moonlight, cool radiance"
"other Aenor, honor"
"song, musical phrase"
"devoted to God"
"in charge, leader"
Similar sound: These names share phonetic patterns with Hayven — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English hæfen origins, giving them the same cultural heritage as Hayven.
Rhythm: Hayven is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.