There is a tongue-in-cheek reference to something called a Brainstorm Cocktail in a 1906 issue of a trade magazine called “The Northwest Druggist”:
The “brainstorm” cocktail is the latest. It consists mainly of cracked ice set aside to thaw.
Druggist humor, I guess.
The real Brainstorm Cocktail came along about ten years later; it’s one of Hugo Ensslin’s pre-Prohibition classics, first published in his Recipes for Mixed Drinks (1916).