La Cueva has no famous person on record yet
The longest list in New Mexico is Albuquerque’s, with 51 names. After Albuquerque, the next longest list in New Mexico is Santa Fe’s, with 42. 97 towns in New Mexico have at least one famous person on record.
Who’s listed here
Famous people come from Wikidata (people whose birthplace is La Cueva), checked against each person’s English Wikipedia article and ranked by how many Wikipedia languages cover them. Nobody born in La Cueva has passed that check yet, and nobody born within 35 miles is listed.
From Wikidata and Wikipedia: people whose birthplace is La Cueva and whose English Wikipedia article agrees, ranked by how many Wikipedia languages cover each person. People known mainly for crimes, and adult performers, aren’t listed. “The usual town” = everyone born in the towns gathered so far.