UPDATED: Wednesday, August 21
After being assessed by the England medical team, Ford has withdrawn from the squad with an achilles complaint.
The four Tigers have been involved in both of England's training camps since the regular season ended a fortnight ago.
Speaking about the inclusion of the Leicester players, Tigers Director of Rugby Geordan Murphy said: "We are always proud to see our players representing the club on the big stage."
"Whenever a Tigers player is included in an international squad or camp, they are representing each of their team-mates, as well as all of the staff and supporters and our Leicester community.
"These four lads are no different and we are all very proud of them and wish them all the best this week ahead of hopefully playing a part in the game against the Barbarians this weekend."
Murphy also added a special message to Tigers academy graduate Heyes, who is in line for his first appearance for the national side.
"Joe has continued to improve and worked hard to be where he is, this is a just reward for his efforts," said Murphy.
"To see another local lad, who made his way up through the ranks of the club, making the next step in his career is an achievement we can all share in with Joe ... it's fantastic to see and he will only benefit from having been a part of the training camps in recent weeks and this week, preparing for a match under Eddie [Jones] and alongside internationals."
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Following the Quilter Cup, which is an uncapped fixture, England will travel to Rome to face Italy in the final round of the delayed 2020 Guinness Six Nations on Saturday 31 October (4.45pm GMT KO). The match is live on ITV.
England will then play four matches as part of the Autumn Nations Cup, returning to Twickenham Stadium for Quilter Internationals against Georgia (Saturday 14 November, 3pm KO) and Ireland (Saturday 21 November, 3pm KO).
They will then face Wales away (Saturday 28 November, 4pm KO) before a placing match at home to determine final position in the competition (Sunday 6 December, 2pm KO). All Autumn Nations Cup games will be live on Amazon Prime.
Ali Crossdale, Saracens
Fraser Dingwall, Northampton Saints
Owen Farrell, Saracens
George Ford, Leicester Tigers
Piers Francis, Northampton Saints
George Furbank, Northampton Saints
Willi Heinz, Gloucester Rugby
Jonathan Joseph, Bath Rugby
Ollie Lawrence, Worcester Warriors
Joe Marchant, Harlequins
Jonny May, Gloucester Rugby
Alex Mitchell, Northampton Saints
Ollie Thorley, Gloucester Rugby
Anthony Watson, Bath Rugby
Ben Youngs, Leicester Tigers
Tom Curry, Sale Sharks
Alex Dombrandt, Harlequins
Tom Dunn, Bath Rugby
Charlie Ewels, Bath Rugby
Ellis Genge, Leicester Tigers
Jamie George, Saracens
Joe Heyes, Leicester Tigers
Ted Hill, Worcester Warriors
Maro Itoje, Saracens
Alex Moon, Northampton Saints
Beno Obano, Bath Rugby
David Ribbans, Northampton Saints
Will Stuart, Bath Rugby
Sam Underhill, Bath Rugby
Billy Vunipola, Saracens
Mako Vunipola, Saracens
Mark Wilson, Newcastle Falcons