The Clash's Mick Jones also on the bill
They join the likes of Carbon/Silicon, Beverley Knight, The Bangles, and Tom Baxter for the two-day event, which takes place on July 5 and 6.
The full line-up for the festival is:
Toots & The Maytals
Half Man Half Biscuit
For more information please visit Cornburyfestival.co.uk