@Davie, you've got 2x #X25s and 1x #28 per hour, as others have said.
I can't see any chances of a more direct link between Wrekenton and Chester. Wrekenton have a lot as it is - buses to Newcastle and Gateshead every few minutes, #56s to Sunderland, #X1s to Washington, etc.
In all fairness, it's only like 20 minutes on the X25 between the two. In my opinion, it's pretty quick as it is. It's only about 10-15 minutes in the car from where I live in Chester-le-Street (not near the town itself - I'm right next to the Emirates Cricket Ground!) to Wrekenton High Street.
And tbh, is there any real demand for a faster link from Wrekenton to Chester? The two aren't exactly landmarks, and apart from a few O-APs milking their passes, would anyone really complain about another 5-10 minutes on a bus as opposed to a car?
RE: Go North East: Service Suggestions