Does anyone know what the names of the Darling Boys on The Andy Griffith Show?

Yep. Here's the whole family:

Briscoe-father, jug
Charlene-daughter, sings and sometimes dances
Doug AKA Jebbin-son, banjo
Rodney-son, guitar
Dean AKA Other-son, mandolin
Mitch-son, bass fiddle

In the real world they were know as The Dillards. Briscoe and Charlene weren't in the band.