Williams sits next to 3 phonetic neighbors — Wilson, Willis, and Williamson are the closest matches by sound. Most share Williams's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"resolute protector"
"forest friend, house friend"
"of the Tiber River, son of the Tiber"
"little warrior, of Mars"
"heri (army) + beraht (bright)"
"exalted father"
"flourishing, long-lived"
"firebrand meadow, sword clearing"
"of the people (from Germanic Deutsch)"
"dedicated to Mars"
"sadness, melancholy"
"sky god, shining deity"
"hillside, river bank"
"man of law, lawyer"
"hard metal alloy of iron and carbon"
"wood, forest"
"new house"
"stoneworker, craftsman"
"Greece, Ionia (ancient land)"
"oak tree"
Similar sound: These names share phonetic patterns with Williams — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Germanic origins, giving them the same cultural heritage as Williams.
Rhythm: Williams is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.