Famous New Orleans Drinks and How to Mix 'Em by Stanley Clisby Arthur (1938, p.66)

1 limelime juice — Lime juiceacid
1 jiggerrum — Rumbase
1 dashPeychaud's bitters — Peychaud bittersbitter
2 ponygrapefruit juice — Grapefruit juicegarnish
1 wholeegg white — Egg whiteother
1 spoonsugar — Sugarsweetener
  1. Dissolve the sugar in grapefruit juice, squeeze in lime juice, add bitters and rum, then shake with ice.
  2. Include egg white if you want the added smoothness Arthur mentions.
  3. Strain into a chilled cocktail glass and serve.

Defined explicitly as a Rum Runner with grapefruit juice replacing pineapple juice.