Shaw sits next to 4 phonetic neighbors — Shay, Chase, and Thatcher are the closest matches by sound. Most share Shaw's Scottish cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"thicket, small wood"
"faithful as a dog, devoted"
"from the rose field"
"spear ruler, powerful warrior"
"supplanter, he who follows at the heel (as Jacob)"
"of the court, refined"
"the king"
"born of laughter, joy"
"strength, God is my help"
"possibly derived from Jason (healer) via phonetic alteration"
"ruler of the home, home ruler"
"son of Anders; son of the manly one"
"reddish-brown color"
"one who is a lord or master"
"beloved of Yahweh"
"battle, spirit of battle"
"born at daylight"
"strong, firm, enduring"
"salvation of the Lord"
Similar sound: These names share phonetic patterns with Shaw — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English origins, giving them the same cultural heritage as Shaw.
Rhythm: Shaw is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.