The proposed route to Banbury starts in Middle Barton, goes through Duns Tew, then Deddington and straight along the A4260 to Banbury. This makes the run quite fast, with peak time journeys around 35-40 minutes.
Click this link to see a map of the route (needs a bit of work, but you get the idea). Final destination in Banbury isn’t clear, but probably Banbury Cross, with options for the train station via the Tramway Road entrance.
It is likely that off-peak variations would include the hospital.