No, only Coach Road leading to Bells Place,
Hi Carly!
I don't think this is St Cuthberts (the village school). I agree that the brickwork is similar but windows are very different. St Cuthberts had windows with 16 panes of glass - 2 rows of 4 in the upper half and the same in the lower half. Your photo shows only what I think are windows with 4 large panes - 2 up, 2 down.
I think there are two other possible schools:
Whitley Memorial School in Vulcan Place. It was there from at least 1856 and only a couple of hundred yards from Coach Lane.
WM had some 4 pane windows as you can see in this photo of the football team taken in 1920 and the brickwork bears a striking resemblance:
This type of window was very common in East End of Bedlington in the earlier dwellings and you can see them above in the photo of Bell's Place.
The other possibility is the private (Presbyterian) School that Eggy mentions above. Unfortunately, we have no phototos of that school.