The public is being invited to share photos and memories of the tree.
The recollections will be added to a temporary exhibition at The Sill, Northumberland National Park Authority’s visitor hub.
Andrew Poad, general manager at the National Trust, said: “Any photos and memories we receive will be used to help create potential future exhibitions, inform our next steps for honouring the tree and aid the ambition of creating 3D imaging of the tree.”
A police investigation was launched following the tree’s felling and forensic officers were seen taking measurements and samples from its remains.
Two men in their 30s have been arrested on suspicion of criminal damage and have since been bailed.
A boy, 16, and a man in his 60s were previously held by police. Northumbria Police confirmed the 16-year-old will face no further action.