There are 4 basic types of conditionals: zero, first, second, and third. It's also possible to mix them up and use the first part of a sentence as one type of conditional and the second part as another. These sentences would be called “mixed conditionals.”
"quietly" is the only adverb in this sentence. Adverbs always (with some very rare exceptions) modify and explain the verb, which in this case is "found".
