Sentences can be formed by phrases or clauses, in this case the italicized words are a phrase. A phrase is a grammatical unit composed by a set of words without subject and predicate whereas a clause is a grammatical unit formed by a set of words that includes a subject and a predicate.
The noun phrase “Wishing to be heard” is modifying the noun “speaker” since it is providing an explanation of why the subject is performing an action.
This answer is showing you just the way her eyelids wavered making you a mental picture of just the way they did, and how they "let in streamers of blue grey light like tissue paper over her eyes"
My favorite Dr. Seuss book is Oh The Places You Will Go. I love this book because it was one of the first Dr. Seuss books I read. It also brings back memories.