The black Stripe is certainly named after the famous racing mare. The horse appears in literature as early as:
The turf expositor by C F. Brown in 1829
"THE TURF EXPOSITOR. ORIGIN of HORSE RACING. As my object is merely to give a sort of consecutive view of the Modern Turf, it will not be necessary to trace the subject of Horse Racing from the earliest periods; and therefore,.. . Black Stripe, Racing Mare.
The drink appears in many famous cocktail guides such as:
How to mix drinks, or The bon-vivant's companion: To which is ... - Page 5 by Jerry Thomas, Christian Schultz in 1862
Jennie June's American cookery book, containing upwards of twelve ... - Page 400 by Jane Cunningham Croly in 1878
American and other drinks by Leo Engel in 1878
The new and improved illustrated bartenders' manual; or: How to ... - Page 110 by Harry Johnson in 1888
This drinks consist of ingredients consistant of the time frame of its creation. This drink is served hot and is a great winter cocktail. It belongs to a family of drinks named after horses, which is more commonly known as the cocktail family. This drink dates between 1820 - 1828 and contained at least as of then:
Serve ingredients hot in an irish coffee glass or other heat retaining vessel.
Garnished with a lemon twist