Cooling Cups and Dainty Drinks by William Terrington (1869, p.220) — Terrington 1869

1 pintgin base
1 lemonlemon juice base
1 quartgreen tea — If preferred as a cool punch, use broken ice instead.dilution
1 gillpineapple syrup — pine-apple syrupsweetener
  1. Combine the lemon juice, pineapple syrup, gin, and green tea.
  2. If serving as a cool punch, use broken ice in place of the tea.

Ice: Optional

This dual hot-or-cold service note makes the recipe especially informative.

It pivots between tea punch and cold bowl with a single substitution.

See also: Gin Punch a la Terrington, Trinidad Punch, Imperial Punch

Terrington explicitly allows it either as tea punch or cool punch.