Katheryn sits next to 4 phonetic neighbors — Katherine, Kathryn, and Catherine are the closest matches by sound. Most share Katheryn's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"each of the two"
"sparkling, clear"
"lake, waterfall"
"settlement of free men"
"of the sea"
"country; land"
"the precious metal, lustrous and bright"
"patient, steadfast"
"faith"
"divine hospitality; gift of grace"
"bright fame"
"small, perfect rose"
"from the oak, wise one"
"pure"
"rose of the moor"
"industrious, striving"
"divine, of the moon"
"enduring contribution, lasting impact"
"immortal inner self"
"raven bird, dark and intelligent"
"land of Eire, western isle"
Similar sound: These names share phonetic patterns with Katheryn — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Katheryn.
Rhythm: Katheryn is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.