Bartenders' Guide: How to Mix Drinks by Wehman Bros. (1912, p.37)

1.5 wine-glassbrandy — Brandybase
1 tablespoonsugar — White pulverized sugarbase
2.5 tablespoonwater — Waterdilution
1 glassice — Fine shaved iceother
4 sprigmint — Fresh mintother
  1. Mix the sugar and water, press fresh mint into them to extract the essence, add the brandy, fill the glass with fine shaved ice, draw out the mint, and serve without the fancy decorations of the full mint julep.

Ice: Ice

The source defines this by cross-reference to the mint julep, minus the ornamental fixing.