In Nouns^x, Adjuncts^x, Predicates^x

Conjunctive adverbs, or simply "conjuncts", do exist, and are different from sentence adverbials.These conjuncts link sentences or paragraphs and usually appear at the beginning of a sentence. The adverbials Anonymous mentioned in their first post, those that tell us something...

After the fire, very little remained of my house ." "of my house" is a predicative or an attributive of "very little After the fire = temporal adjunct (time adverbial phrase) little = subject (noun) very = modifies the subject, an attributive adjective. After the fire ... remained...

Hi, that's a cute name. Your analysis of the sentence is correct for the most part. "Next to it is" is the predicate of the sentence. The subject is the rest of the sentence, not just "a different sign". Are you familiar with "adjectival/relative clauses"? That's what you have after...