Latham sits next to 3 phonetic neighbors — Lathan, Lanham, and Nathan are the closest matches by sound. Most share Latham's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"at the barns, near the granary"
"manifestation of God, Epiphany"
"new settlement, new town"
"old power, noble ruler"
"rule of the spear"
"love, passion"
"unity, one"
"distant, far off"
"enclosed field"
"little Alexander"
"beneficent, fortunate"
"modern coined name, possibly hillside light"
"small holy man"
"to flow down, descend"
"noble and ready"
"beloved"
"servant of God"
"beloved"
"modern American creation"
"a days travel; a trip"
"curly-haired"
Similar sound: These names share phonetic patterns with Latham — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old Norse origins, giving them the same cultural heritage as Latham.
Rhythm: Latham is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.