How can "the sheep" and "the fleece" come in a row? Is something skipped in-between?
You can consider the "that" to have been omitted here. The sentence would then be "the fleece that the sheep had snagged on briars." "That" is commonly omitted like this in both writing and speaking. Ex: Throw away the box [that's] on the table. Ex: This is the book [that] the professor recommended.
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