A “Belmont Park” cocktail recipe appears in the book Americana: Eight Cocktail Napkins, Hand Blocked, with Recipes and the Histories of Eight Famous Drinks (1925?). The recipe contains Bacardi rum, port, one egg and a teaspoonful of powdered sugar. This little-known cocktail was rediscovered by the website Barina Craft (below).
 
A drink called “Big Apple” was briefly the official drink of the Belmont Stakes in 1976. The “White Carnation” (vodka, peach schnapps, orange juice, soda, and a splash of cream) had been the official drink of the Belmont Stakes from the 1980s until 1997’s “Belmont Breeze” (bourbon, sherry, simple syrup, lime juice, orange juice, cranberry juice, 7-Up, and club soda). The Belmont Breeze was itself replaced as the official drink in 2011 by the “Belmont Jewel” (bourbon, lemonade and pomegranate juice).
     
 
Wikipedia: Belmont Park
Belmont Park is a major Thoroughbred horse-racing facility located in Elmont, New York, just outside New York City limits. It first opened on May 4, 1905. It is typically open for racing throughout May and June and into late July, and again from late September through late October.
 
It is world famous as the home of the Belmont Stakes, known as the “Test of the Champion”, the third leg of the Triple Crown.
 
The Manhattan Rare Book Company
ANONYMOUS,
Americana: Eight Cocktail Napkins, Hand Blocked, with Recipes and the Histories of Eight Famous Drinks
 
Amusing cocktail recipe book with eight richly hand-colored napkins.
 
Produced during Prohibition (with “non-alcoholic” wryly inserted in the ingredients). Dedicated “to serious drinkers everywhere,” with history and recipes for the following cocktails: Manhattan, Blue Blazer, Deadwood Duck, Rip Van Winkle Sleeper, Belmont Park, Alabama, Barbary Coast, New Orleans Drip.
 
np: np, nd (c.1925).
 
Barina Craft
Belmont Park Cocktail - Stakes Original Official Drink?
(...)
History Of The Belmont Park Cocktail
First Published
The Belmont Park Cocktail was a piece of Americana circa 1925 whose publishers found a way around the Volstead Act of 1920.* They added a shot of humor to the drink recipes.
 
Let’s Get Serious
Dedicated to serious drinkers everywhere, Americana was a rare prohibition era book that poked fun at the Eighteenth Amendment. Non-alcoholic liquors and ‘flavorings’ were used as ingredients in the eight cocktails which included the Alabama, Barbary Coast, Belmont Park, Blue Blazer, Deadwood Dick, Manhattan, New Orleans Drip and the Rip Van Winkle Sleeper.
 
Original Belmont Park Cocktail Recipe:
½  Bacardi (non-alcoholic)
1 Egg
1 Teaspoonful Powdered Sugar
2/3 Port (non-alcoholic)
 
Add ice, shake well and strain into cocktail glasses.