Gaige sits next to 4 phonetic neighbors — Gage, Page, and Sage are the closest matches by sound. Most share Gaige's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"pledge, oath, measure"
"from the suffix -ance (quality of)"
"modern invented name, strength implied"
"land of the Celtic people"
"powerful ruler; God is gracious"
"sword/fire (brand element)"
"glory of Hera"
"wealthy protector"
"loved, beloved"
"promised land, merchant"
"brave traveler"
"handsome, distinguished"
"red-haired, ruddy complexion"
"red-haired"
"moonlit, bright moon"
"from the Liffey valley"
"slender, narrow (from Irish Caolan)"
"of noble birth"
"fifth (born)"
"sharp, intelligent"
Similar sound: These names share phonetic patterns with Gaige — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old French origins, giving them the same cultural heritage as Gaige.
Rhythm: Gaige is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.