Gauge sits next to 4 phonetic neighbors — Gage, Sage, and Page are the closest matches by sound. Most share Gauge's Old North French-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"measuring instrument, standard dimension"
"deep blood-red color"
"God is my salvation"
"grove, wooded area"
"little wolf"
"forest, wood, timber"
"precious gem, jewel"
"wide, vast"
"emperor, ruler, caesar"
"follower of Christ, Christian"
"lion man (from Leander)"
"bright, shining, evident"
"tube, channel"
"founder, first king"
"one of the primordial ruling gods"
"God is perfect, Yahweh is upright"
"eldest son (Na'vi fictional language)"
"son of Jacob"
"brother (informal)"
"priest"
Similar sound: These names share phonetic patterns with Gauge — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old North French origins, giving them the same cultural heritage as Gauge.
Rhythm: Gauge is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.