A Bishop Cup is a historical cocktail and an example of a cup cocktail, which is a style that has largely disappeared outside of the English fruit cup tradition. It is made with a similar flavor profile to the Bishop, containing red wine, rum, fruit juice, and sugar. For the non-cup version see Bishop.
A recipe from 1895 follows:
Bishop
Source: Modern American Drinks - How to Mix and Serve All Kinds of Cups and Drinks; Kappeler, George J.; 1895
A long thin punch-glass half-full fine ice, the juice of quarter of a lemon, the juice of half an orange, one dash Jamaica rum, two jiggers Burgundy, one tablespoonful fine sugar. Mix well, fill the glass with seltzer, ornament with fruit. Serve straws.