Begin by combining blackberries, bourbon, sherry vinegar, brown sugar, Dijon mustard, salt, pepper, and granulated garlic in a medium sauce pot over medium-high heat.
Let simmer on medium-high heat for 18-20 minutes, until the blackberries break down and the sauce begins to thicken.
Remove bourbon glaze from the heat and set aside.
Remove spiral sliced ham from packaging, and warm it in the oven according to instructions. Remove and set on a platter, separate the slices, and spoon the glaze over the top to serve.