The Hoffman House Bartender's Guide by Charles S. Mahoney (1905, p.176)

0.5 mixing glassice — cracked icebase
0.5 whiskey glassMartell brandy base
0.5 whiskey glassOld Tom gin base
0.33 whiskey glassPineapple juice — juice of bottled pineappledilution
Soda water — sodadilution
1 barspoonsugar sweetener
  1. Combine the cracked ice, Martell brandy, Old Tom gin, and bottled pineapple juice in a mixing glass and strain into a thin soda glass.
  2. Fill the glass two-thirds with soda, add a barspoon of sugar, stir, and drink.

Ice: Cracked ice

See also: Panama Fizz, Telephone Fizz

Source prints the name without an apostrophe; canonicalized conservatively here as Angel's Fizz.