Parker sits next to 3 phonetic neighbors — Porter, Paxer, and Barker are the closest matches by sound. Most share Parker's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"keeper of the game preserve"
"the Lord heals"
"great, venerable, majestic"
"park, game preserve"
"my God is the Lord"
"defender of the people"
"gift of God"
"Mack's spring, great stream"
"who resembles God"
"cloth walker, one who treads cloth"
"man, human being"
"of uncertain origin, possibly barberry hill"
"fortunate, prosperous"
"son of the right hand"
"strong, mighty"
"salvation of God, the Lord saves"
"the healer (Iason)"
"one who lives near a brook"
"jet black; speed"
"red king, famous ruler"
Similar sound: These names share phonetic patterns with Parker — 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 Parker.
Rhythm: Parker is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.