The call-up of 21-year-old Simpson means there are now three scrum-halves in the 33, while Hodgson joins fellow fly-halves Toby Flood and Jonny Wilkinson.
In the injury-enforced absence of Jonny Wilkinson and Toby Flood, uncapped Leicester fly-half Sam Vesty and Brive's Andy Goode were selected ahead of Cipriani for the senior squad.
The departure of powerhouse Kiwi prop Carl Hayman for Toulon marked the end of an era of star names as he joined Jonny Wilkinson, Toby Flood and Mathew Tait on the list of players leaving the club in the last three seasons.