Vaughan played four first-class and seven 50-over matches for Somerset last season, having made his debut for the county in July.
He averaged 33.71 with the bat in the County Championship but also caught the eye with his off-spin, taking 15 wickets including two five-wicket hauls.
His father was one of England’s most successful Test captains, winning 26 of his 51 Tests in charge and leading his side to victory in the iconic 2005 Ashes series against Australia.
“If someone had told me 12 months ago that I would have forced my way into the Somerset first team and be captaining the Under-19s, I wouldn’t have believed them,” Vaughan said.
“It’s happened quickly but I’m going to keep my feet on the ground and work harder and harder.”
Vaughan made his Somerset debut in the same week 16-year-old Rocky Flintoff, the son of former England all-rounder Andrew, made his first appearance for Lancashire.
Flintoff was also part of the training group in South Africa before Christmas but has since been promoted to England Lions squad for their tour of Australia this month, where he will be coached by his father.
That tour begins on 14 January.
England U19s squad for tour of South Africa: Archie Vaughan (Somerset – captain), Farhan Ahmed (Nottinghamshire), Tazeem Ali (Warwickshire), Ben Dawkins (Kent), Kesh Fonseka (Lancashire – Test squad only), Alex French (Surrey), Alex Green (Leicestershire), Jack Home (Worcestershire), James Isbell (Middlesex), Eddie Jack (Hampshire), Ben Mayes (Hampshire), James Minto (Durham), Harry Moore (Derbyshire), Joe Moores (Lancashire – ODIs only), Thomas Rew (Somerset), Aaryan Sawant (Middlesex), Naavya Sharma (Middlesex), Alexander Wade (Yorkshire)