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Cooling Cups and Dainty Drinks by William Terrington (1869, p.219) — Terrington 1869

1 orangeSeville or Mandarin orange peel — rind of a Seville or Mandarin orangeacid
1 pintbrandy base
6 orangessweet orange juice — St. Michael orangesbase
water — liquordilution
1 pintorange shrub — orange-shrubmodifier
1 dropneroli essence — essence of neroliother
sugar — Sweeten to taste.sweetener
  1. Strain the juice of the oranges and flavor it with rubbed peel from a Seville or Mandarin orange and the drop of neroli essence.
  2. Add the brandy and orange shrub.
  3. Sweeten to taste, add as much liquor as desired, and serve.

This is a fine example of orange-driven punch distinct from the more lemon-dominant norm.

Neroli gives it a perfume note that links it to several of the book's more aromatic punches.

Modern American Drinks by George J. Kappeler (1895, p.91) — George J. Kappeler 1895

0.5 half limeLime juice (fresh) — lime juiceacid
0.5 half orangeOrange juice (fresh) — orange juiceacid
1 tablespoonsugar — fine sugarbase
fruit — fruitgarnish
1 jiggerorange brandy — eau de vie d'oranges or orange brandymodifier
ice — fine iceother
  1. Dissolve the sugar with a little water in a mixing-glass.
  2. Add the orange juice, lime juice, orange brandy, and fine ice and mix well.
  3. Strain into a fancy bar-glass and trim with fruit.

Garnish: Fruit

Ice: Fine ice

New and Improved Bartenders' Manual by Harry Johnson (1900, p.238) — Harry Johnson 1900

0.5 pintbrandy — brandybase
0.5 pintrum — rumbase
3 pinthot water — boiling waterdilution
4 wholeOrange — orangesgarnish
1 liquor-glassCuracao, noyeau, or maraschino — curacoa, noyeau, or maraschinomodifier
0.5 pintPorter — porterother
1 lbsugar — loaf sugarsweetener
  1. Infuse the peel of two oranges and the juice of four oranges with the sugar in the boiling water for half an hour.
  2. Strain the mixture.
  3. Add the porter, rum, and brandy.
  4. Add curacoa, noyeau, or maraschino if desired as an improvement, and serve.
Nose
Warm orange, beer, and spirit make a deeper, more old-fashioned punch aroma than the sparkling bowl drinks nearby.
Palate
This is a broad winter punch with citrus and porter giving it more depth and texture than a simple spirit-and-water bowl.
Finish
The finish is warm, orange-led, and softly malty.
Summary
A rich orange-and-porter punch preserving a heavier winter branch of communal punch service.

The optional liqueur improvement note is useful because it shows punch as a field of adjustment rather than a fixed sacred formula.

The orange infusion stage matters. The citrus is meant to be built into the punch before the spirits enter, not merely floated at the end.

Bartenders' Guide: How to Mix Drinks by Wehman Bros. (1912, p.53)

0.75 pintbrandy — Brandybase
0.75 pintrum — Rumbase
3.5 pintwater — Boiling waterdilution
4 wholeOrange — Orangesgarnish
1 liquor glasscuracao — Curacoa or maraschinomodifier
0.5 pintPorter — Porterother
0.75 poundsugar — Loaf sugarsweetener
  1. Infuse the rind of two oranges and the juice of four with the sugar in the hot water for half an hour, strain, add the porter, rum, and brandy, optionally add curacoa or maraschino, and serve.

Ice: Ice

The source explicitly notes this as a template for lemon punch by substituting lemons for oranges.

Cheerio! A Book of Punches and Cocktails by Charles (1928, p.39)

4 orangesorange juice acid
0.75 pintbrandy base
2 orangesOrange peel — Cut the peel of two oranges into the water.base
0.75 pintrum base
1.5 quartswater dilution
1 liqueur glasscuracoa — Optional improvement.modifier
1 dashMaraschino — Maraschinomodifier
0.5 pintPorter other
1 small cupfulpowdered sugar sweetener
  1. Cut the peel of two oranges into the water and squeeze in the juice of four oranges, then add the powdered sugar and allow to boil half an hour.
  2. Add the porter, rum, and brandy, with Curacoa and Maraschino if desired, and serve piping hot.

Ice: None

See also: Hot Brandy and Rum Punch, Nectar Punch

Source says Lemon Punch may be made from this formula by substituting lemons for oranges.