Thompson sits next to 4 phonetic neighbors — Thomson, Jackson, and Jameson are the closest matches by sound. Most share Thompson's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"son of Thomas, son of the twin"
"God strengthens, God will strengthen"
"crown, wreath"
"father of multitudes"
"head, chief (as in penultimate)"
"bent grass clearing"
"rule, standard"
"one who strikes, striker"
"place by the wide ford"
"noble strength"
"God has remembered"
"blue-green color"
"creative American coinage"
"thankful, God has heard"
"of the Saxon people"
"God is gracious"
"dark one's town"
"bright, shining one"
"beginning, origin, creation"
"Olympic victor"
"stone-like, hard, steadfast"
Similar sound: These names share phonetic patterns with Thompson — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Middle English origins, giving them the same cultural heritage as Thompson.
Rhythm: Thompson is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.