Tully sits next to 3 phonetic neighbors — Tolly, Tully, and Cully are the closest matches by sound. Most share Tully's Irish-rooted cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"ruler of the people"
"one who is loved"
"from the burial mound"
"to tame, subdue"
"he who holds firm the good"
"gracious defender (if related to Desmond)"
"lord of the right path"
"descendant of the champion"
"work-power, home-ruler"
"Leaseholder; tenant farmer"
Similar sound: These names share phonetic patterns with Tully — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Irish Gaelic origins, giving them the same cultural heritage as Tully.
Rhythm: Tully is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.