Katherine sits next to 4 phonetic neighbors — Catherine, Kathryn, and Kathleen are the closest matches by sound. Most share Katherine's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"pure"
"moon goddess"
"king's meadow"
"light, illumination"
"ivy plant"
"cloud"
"worthy of love"
"olive tree"
"may Jehovah increase"
"from 'Van' + 'Essa' (pet form of Esther)"
"eternal life (early Christian use)"
"God is my strength"
"flute player, pipe player"
"bright, clear"
"breath, to breathe"
"compassion, sympathy"
"fairy maiden"
"An English surname turned first name; popularized as a girl's name ..."
"lily flower, purity"
"heaven (spelled backwards)"
"bright, shining light"
Similar sound: These names share phonetic patterns with Katherine — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Katherine.
Rhythm: Katherine is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.