Sheila sits next to 4 phonetic neighbors — Sheela, Shyla, and Leila are the closest matches by sound. Most share Sheila's Irish-rooted cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"heavenly"
"gracious meadow"
"flask of kohl (cosmetic)"
"beautiful, noble"
"wealthy, gift"
"Saint Anne"
"gift of God"
"of noble kind"
"moonlight, halo around the moon"
"joy, happiness, joyful"
"bright, shining one"
"like a storm, tempestuous"
"breeze"
"woman of power, female leader"
"land of the Aryans"
"moon"
"heaven reversed, a child from heaven"
"selected, set apart, elect"
"of noble birth"
"tree, oak tree"
"my God is Yahweh"
Similar sound: These names share phonetic patterns with Sheila — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Irish (via Síle) origins, giving them the same cultural heritage as Sheila.
Rhythm: Sheila is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.