There is no compound sentence in the given question.
The original name of the statue was "Liberty Enlightening the World." - It is a simple sentence.
A simple sentence is only one independent clause that has a subject, or predicate (verb or verbal phrase).
It may or may not contain any modifiers or objects.
The given sentence makes sense without any other dependent clause.
While a compound sentence consists of two independent clauses.
A compound sentence can stand alone as they give a proper meaning.
These independent clauses are joined together using a conjunction such as: but, yet, nor, and, so, but & many more.
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