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...but I'm not comfortable making an ID from photos. (Nothing personal!)
Points in favour of your ID:
Leaves appear to be in bunches on short spurs, very indicative of cherry.
Bark, even though it's a young tree, is very much what you would expect from cherry.
Cherry trees do pop up everywhere: birds carry the seeds, so I would not be surprised to find seedlings in woodland.
If you can return to the wood, you could check the leaves to see if they have any red or yellow glands on the petiole, just where the leaf blade meets the stalk. This is a very good indicator of cherry. I've looked closely at your photo, but it's not quite clear enough to see if there are glands on the leaves.
How to take close-ups with cheap phone and hand-lens:
Field Guides for Budding Botanists:
Lat/Lng: 52.596, -1.0647
OS grid ref: SK634002
Bank of the Washbrook