See that red staining ? that looks like alder.
If you cut it and your tools look like they're covered in blood, it's alder.
Type alder into google images and see how it compares on the leaf shapes ?
M
I just went out and cut the bark and there is no red sap and I looked at the leaves online and apparently alder dont have pointy leaves.
Purple buds is another indicator for alder.
Did you notice any small cones on the tree or the floor?
The buds are more brown then purple and the buds further down are yellow? Also I think alder buds are on small stems. I couldnt tell what was from what on the floor as there is so many other trees and brambles and nettles and mud. I can't remember seeing any cones and I also read that the brown cones stay on the tree all year round.
Not Hornbeam, I'd say Willow.
It could be willow as the new shoots are green but the leaves just don't look slender enough?
Thanks to everyone for your responses, even if I didnt quote you.
If it helps the tree didn't have any new shoots near the base of the trunk, most the foliage seemed to be near the top. I may need to go back to the site for more investigating. I think its certainly not alder but I am thinking elm