Review the sentence:
Sipping the glass of iced tea, Marilyn's parched throat was soothed
by the cool liquid.
Sipping the glass of iced tea, a participle phrase, comes right before parched throat, an illogical target. (Marilyn's, a possessive noun, functions as an adjective describing throat.) A person, not a throat, does the sipping!
Before you continue, review the rules for misplaced and dangling modifiers.