Take another look at the sentence:
Sneezing from the high pollen count, a clean handkerchief would come in
handy.
Sneezing from the high pollen count, a participle phrase, has no target in the sentence. When a modifier has no word to describe, it is dangling.
To fix the problem, you should revise the sentence like this: Because Gerald was sneezing from the high pollen count, a clean handkerchief would have come in handy . Adding Gerald to the sentence lets the reader know who is suffering without a way to wipe his nose!