Tallula sits next to 4 phonetic neighbors — Tallulah, Lula, and Lulah are the closest matches by sound. Most share Tallula's Native American cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"leaping water, rushing water"
"small wild duck with blue-green plumage"
"big happiness, great light"
"modern coinage, variant of Mackenzie"
"Bright, shining light; torch"
"the Lord is my strength"
"musical harmony; combination of notes"
"variant of Marilyn, beloved"
"miracle, divine"
"she of the lake"
"yellow, fair-haired"
"youthful, downy"
"lake (from Welsh -lyn element)"
"energetic, powerful"
"God is gracious"
"powerful, mighty"
"one who is exalted"
"child of light (folk etymology)"
"jasmine flower"
Similar sound: These names share phonetic patterns with Tallula — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Choctaw origins, giving them the same cultural heritage as Tallula.
Rhythm: Tallula is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.