Wrenn sits next to 4 phonetic neighbors — Ren, Wren, and Quinn are the closest matches by sound. Most share Wrenn's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"small, mighty songbird"
"heavenly, of the sky"
"calmness, peace, tranquility"
"heavenly, divine blossom"
"May + Lee blend, spring meadow"
"elm tree joy"
"royal garland, heavenly wreath"
"moon, full moon"
"who is like God, crown"
"little red one"
"variant of Agnes/Vanessa"
"courageous, brave (via Riley)"
"torch, bright light"
"from Tullius (Latin family name)"
"mighty in battle"
"elf, magical being"
"perfect, complete"
"righteousness, equity"
"star"
"thunder, resounding"
Similar sound: These names share phonetic patterns with Wrenn — 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 Wrenn.
Rhythm: Wrenn is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.