When I lived in Oakenshaw and Willington in the 1970s, the Bondy bus (Oakenshaw to Bishop, same route is still running, but now Weardale has the contract) was the one I'd get if I was going into Durham.
The catch was, the Bondy bus arrived at the bus stop on Willington Front Street a couple of minutes after the (then) 724 arrived from Crook, heading into Durham, and in those days, onwards all the way to Newcastle. So you would have to tell the Bondy bus driver, who would try to make the connection. But didn't always succeed!
If you were heading back to Oakenshaw, you would say the number and street you wanted (usually New Row, as that's where all us blow-ins lived in cheap ex-Coal Board houses), and he would stop precisely outside your house.
According to one of my Willington neighbours, in one of the Great Snowy Winters, before my time, they sent a Bond bus up to Oakenshaw. When it didn't come back, they sent another one. When that one didn't come back, they sent a third one. What happened next, I never did learn 