Most likely name for a pink Jacquemot rose, the Jack Rose is a rare find in most bars. I would bet 99% of bartenders haven't heard of it, though it is considered one of the 6 basic cocktails.
Apple Brandy (Applejack is preferred)
Pour into a cocktail shaker half-filled with ice 8 parts apple brandy, two parts lemon juice, and one part grenadine. Shake vigorously and strain into a chilled cocktail glass. Garnish with a lemon twist. Optionally, rim the glass with sugar.