The Transferred Epithet used in the poem 'The Laburnum Top' is "her barred face identity mask".

Explanation:
In the poem 'The Laburnum Top' by Ted Hughes, the poet describes a laburnum tree and its interactions with the natural world. The Transferred Epithet is used in the line "her barred face identity mask".

1. What is a Transferred Epithet?
A Transferred Epithet is a figure of speech where an adjective or a modifier is transferred from the noun it usually modifies to another noun in the sentence. It creates a vivid image and adds emphasis to the description.

2. Understanding the context:
In the poem, the laburnum tree is personified and described as having a "barred face identity mask". This personification allows the reader to imagine the tree as having a face, which is covered or masked by bars.

3. Analyzing the phrase:
- "Her": The use of the pronoun "her" suggests that the tree is being personified as a female entity.
- "barred face": The phrase "barred face" implies that the bark of the tree has a pattern or texture that resembles bars or stripes. This description adds a visual element to the tree's appearance.
- "identity mask": The phrase "identity mask" suggests that the tree's bark serves as a disguise or a covering, hiding its true nature or identity.

4. Significance of the Transferred Epithet:
The use of the Transferred Epithet "her barred face identity mask" adds depth and complexity to the description of the laburnum tree. It not only portrays the physical appearance of the tree but also hints at a hidden identity or a sense of mystery.

Overall, the Transferred Epithet "her barred face identity mask" in the poem 'The Laburnum Top' enhances the imagery and conveys a deeper meaning about the tree's appearance and its relationship with the natural world.